Find the least common multiple of the numbers in the group.
-26,714, 3515
A)133,570
B)703
C)10
D)7030

Question

Quizplus · Accepted Answer

The least common multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers in the group. To find the LCM of 26, 714, and 3515, we need to factor each number into its prime factors: - 26 = 2 × 13 - 714 = 2 × 3 × 7 × 17 - 3515 = 5 × 19 × 37 The LCM is then found by taking the highest power of each prime that appears in the factorization of any of the numbers. In this case, since 2, 3, 5, 7, 13, 17, 19, and 37 are all the prime factors involved, and each appears only to the first power in the factorizations, the LCM is simply the product of these primes: LCM = 2 × 3 × 5 × 7 × 13 × 17 × 19 × 37 = 133,570.

Find the Least Common Multiple of the Numbers in the Group