24 = 3 x 2 x 2 x 2
9 = 3 x 3
prime common multiples = 3
common multiples = 1,3
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Multiples are just numbers that can be multiplied together to find the given number. So: Multiples of 9: 1,3,9 Multiples of 18: 1,2,3,6,9,18 Common Multiples of 9 & 18: 1,3,9
Lowest Common MultipleThe smallest common multiple of two or more numbers is called the lowest common multiple (LCM). E.g. Multiples of 8 are 8, 16, 24, 32, …Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, …In general:To find the lowest common multiple (LCM) of two or more numbers, list the multiples of the larger number and stop when you find a multiple of the other number. This is the LCM.Example 3Find the lowest common multiple of 6 and 9.Solution:List the multiples of 9 and stop when you find a multiple of 6.Multiples of 9 are 9, 18, …Multiples of 6 are 6, 12, 18, …Example 4Find the lowest common multiple of 5, 6 and 8.Solution:List the multiples of 8 and stop when you find a multiple of both 5 and 6.Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, …Stop at 120 as it is a multiple of both 5 and 6.So, the LCM of 5, 6 and 8 is 120.
multiples for 3: 3, 6, 9, 12, 15, 18, 21, 24 multiples for 8: 8, 16, 24 The least common multiple is 24
The first common multiples of 5, 3, and 8 are found by listing out the multiples of each number and finding the least common multiple. The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, and so on. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, and so on. The first common multiples of 5, 3, and 8 are 24 and 48.