Multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392 Show
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 20. Follow the steps below, and let's calculate the LCM of 8 and 20. Method 1 - Prime factorizationStep 1: Create a list of all the prime factors of the numbers 8 and 20:
The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is: 8 = 23
The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is: 20 = 22x51 Step 2: Identify the highest power of each prime number from the above boxes:Step 3: Multiply these values together:Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 8 and 20. The Least Common Multiple of 8 and 20 is 40. Method 2 - List of MultiplesFind and list multiples of each number until the first common multiple is found. This is the lowest common multiple. Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64 Multiples of 20:Therefore,The first step to this method of finding the Least Common Multiple of 8 and 20 is to begin to list a few multiples for each number. If you need a refresher on how to find the multiples of these numbers, you can see the walkthroughs in the links below for each number. Let’s take a look at the multiples for each of these numbers, 8 and 20: What are the Multiples of 8? What are the Multiples of 20? Let’s take a look at the first 10 multiples for each of these numbers, 8 and 20: First 10 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 First 10 Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 You can continue to list out the multiples of these numbers as long as needed to find a match. Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 8 and 20 are 40, 80, 120. Because 40 is the smallest, it is the least common multiple. The LCM of 8 and 20 is 40.
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 8 and 20 is 40. LCM(8,20) = 40 Least Common Multiple of 8 and 20 with GCF FormulaThe formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b). GCF(8,20) = 4 LCM(8,20) = ( 8 × 20) / 4 LCM(8,20) = 160 / 4 LCM(8,20) = 40 Least Common Multiple (LCM) of 8 and 20 with PrimesLeast common multiple can be found by multiplying the highest exponent prime factors of 8 and 20. First we will calculate the prime factors of 8 and 20. Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is: 8 = 23 Prime Factorization of 20
Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is: 20 = 22 × 51 Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 20. LCM(8,20) = 23 × 51
The multiples of numbers calculator will find 100 multiples of a positive integer. For example, the multiples of 3 are calculated 3x1, 3x2, 3x3, 3x4, 3x5, etc., which equal 3, 6, 9, 12, 15, etc. You can designate a minimum value to generate multiples greater than a number. For example, to find 100 multiples of 36 that are greater than 1000 you will get: 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, etc. Here is a list of the first 20 multiples of the integers 1 through 20. Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60 Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80 Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120 Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160 Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180 Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240 Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260 Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280 Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300 Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320 Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340 Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360 Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380 Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400 What are the common multiples of 8 and 20? Common multiples of 8 and 20 are numbers that both 8 and 20 can be divided into evenly with no remainder. To find the common multiples of 8 and 20, we compare the list of multiples of 8 with the list of multiples of 20 to see what they have in common. To create a list of multiples of 8, we multiply 8 by 1, 8 by 2, and so on like this: 8 x 1 = 8 8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 ... Similarly, to create a list of multiples of 20, we multiply 20 by 1, 20 by 2, and so on like this: 20 x 1 = 20 20 x 2 = 40 20 x 3 = 60 20 x 4 = 80 ... When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 8 and 20?" 40, 80, 120, 160, etc. Since 40 is the first number they have in common, 40 is the least common multiple of 8 and 20. Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 40 (the least common multiple), so you can continue the green list above with more common multiples of 8 and 20 by simply adding 40 to the last number on the list.Common Multiples Calculator Need another answer? Get common multiples here:What are the common multiples of 8 and 21? Did you find our explanation and solution to "Common Multiples of 8 and 20" helpful? If so, try the next problem on our list here.Copyright | Privacy Policy | Disclaimer | Contact The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80… and so on. It is a sequence where the difference between each next number and the preceding number, i.e. two consecutive results, is 8. Multiples are the numbers that give products of any number multiplied by other natural numbers. There is a difference between factors and multiples, which you can learn here. However, 8 is a factor of 8, and also 8 is a multiple of 8. What are Multiples of 8?The multiples of 8 are the numbers that are generated when 8 is multiplied by any natural number. That means any number that can be expressed in the form of 8n where n is an integer is a multiple of 8. As we know, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n. Some of the multiples of 8 include the following. 8, 16, 24, 32,….., 72, 80, 88,…. Thus, as per the definition given above, the multiple of 8 is obtained by multiplying some integer with 8. For example, 48, 56, 64 and 96 are all multiples of 8 for the following reasons.
We can also find the multiples through the repeated addition of a number as many times as required. For example, the first five multiples of 8 can be written as: 8 × 1 = 8 8 × 2 = 16 or 8 + 8 = 16 {here 8 is added for twice} 8 × 3 = 24 or 8 + 8 + 8 = 24 {here 8 is added for thrice} 8 × 4 = 32 or 8 + 8 + 8 + 8 = 32 8 × 5 = 40 or 8 + 8 + 8 + 8 + 8 = 40 Similarly, we write several multiples of the given numbers. What is the 5th multiple of 8?To get the fifth multiple of 8, we have to multiply 8 by 5 or add the number five times. Therefore, the fifth multiple of 8 is 8 x 5 = 40 or 8 + 8 + 8 + 8 + 8 = 40. Multiples of 8 ChartGo through the table given below to get the first 20 multiples of 8 along with the multiplication notation in each case.
From the above table, we can say that the multiples of the number 8 are the results in the multiplication table of 8, as both are the same. Video Lesson on Common MultiplesGet the Multiples of More Numbers HereTo get more articles related to multiples and common multiples, visit www.byjus.com today. Also, get engaging videos on maths concepts by downloading BYJU’S – The Learning App. To find the multiples of 8, we multiply 8 by the numbers 1, 2, 3, 4, etc. Thus, the resulting values will be the required multiples of 8. The first six multiples of 8 are 8, 16, 24, 32, 40 and 48. These can be expressed as: 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40 8 × 6 = 48 The factors of 8 are 1, 2, 4, and 8. To find the multiples of a number, multiply the given number by other numbers. That means, if two values, p and q, are there, we say that q is a multiple of p if q = np for some integer n. The number which is exactly divisible by 12 is a multiple of12t. Such numbers are 12, 24, 36, 48, 60, 72,… The multiples of 8 until 100 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96. |