Find the least common multiple: lcm(10, 21, 7) Find the prime factorization of each integer: The prime factorization of 10 is: 10 = 2×5 The prime factorization of 21 is: 21 = 3×7 The prime factorization of 7 is: 7 = 7^1 Find the largest power of each prime factor. The largest power of 2 that appears in the prime factorizations is 2^1. The largest power of 3 that appears in the prime factorizations is 3^1. The largest power of 5 that appears in the prime factorizations is 5^1. The largest power of 7 that appears in the prime factorizations is 7^1. Therefore lcm(10, 21, 7) = 2^1×3^1×5^1×7^1: Answer: | | lcm(10, 21, 7) = 210
