Well, let's paint a happy little picture with prime numbers! To find the Least Common Multiple (LCM) of 12, 28, and 40, we first break down each number into its prime factors: 12 = 2^2 * 3, 28 = 2^2 * 7, and 40 = 2^3 * 5. Then, we take the highest power of each prime factor that appears in any of the numbers, which gives us 2^3 * 3 * 5 * 7 = 840. So, the LCM of 12, 28, and 40 using prime numbers is 840.
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Oh, dude, the LCM of 12, 28, and 40 using prime numbers is like the smallest number that all three of those numbers can divide into evenly. So, you break down each number into its prime factors, which are like the building blocks of numbers, and then you just pick the highest power of each prime factor that appears in any of the numbers. In this case, the LCM would be 2^3 * 3 * 5 * 7, which is 840.
2 x 2 x 3 = 12
2 x 2 x 7 = 28
2 x 2 x 2 x 5 = 40
2 x 2 x 2 x 3 x 5 x 7 = 840, the LCM
The least common multiple is the smallest number that is multiple of two or more numbers. 10: 10, 20, 30, 40, 50, 60 12: 12, 24, 36, 48, 60 15: 15, 30, 45, 60 The LCM of 10, 12 and 15 is 60. ------------------------------------------ Using prime factorisation: prime factorise each number in power format: 10 = 2 x 5 12 = 2² x 3 15 = 3 x 5 LCM is the product of the highest power of every prime that appears in any of the numbers (across the numbers): lcm = 2² x 3 x 5 = 60
The numbers are: 12 and 72
The least common multiple of 12 and 16 is 48The prime factorization of 12 is 2 x 2 x 3The prime factorization of 16 is 2 x 2 x 2 x 2The LCM of 16,12 is: 2 x 2 x 2 x 2 x 3 = 4848The Least Common Multiple (LCM) for 12 16 is 48.
12 and 24
LCM is 120, which is the multiple of the highest power of prime factors in the given numbers (2^3 x 3 x 5).Least Common Multiple (LCM) for 12 40 is 120