The Least Common Multiple (LCM) of 10, 20, 30, and 40 is the smallest number that is a multiple of all these numbers. To find the LCM, we first need to find the prime factors of each number: 10 = 2 x 5, 20 = 2^2 x 5, 30 = 2 x 3 x 5, and 40 = 2^3 x 5. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 x 3 x 5 = 120. Therefore, the LCM of 10, 20, 30, and 40 is 120.
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40 (+20, -10, +30 ,-20)
30 and 40Factors of 30 are 1, 2, 3, 10, 15, and 30.Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.The GCF of 30 and 40 is 10.Multiples of 30 are 30, 60, 90, 120, ...Multiples of 40 are 40, 80, 120, ...The LCM of 30 and 40 is 120.orWrite the prime factorization.30 = 2 x 3 x 540 = 23 x 5The common prime factors are 2 and 5, so that the GCF of 30 and 40 is 2 x 5 = 10.The greatest power of both numbers are 23, 3, and 5, so the LCM of 30 and 40 is 23 x 3 x 5 = 120.
The LCM is 600.
The LCM is 600.
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