Find the LCM of Denominators: 2, 5, and 7

Question

Given several denominators, what is their least common multiple?

2   5   7 \boxed{2}~~~\boxed{5} ~~~\boxed{7}

Step-by-Step Solution

To find the least common multiple (LCM) of 2 2 , 5 5 , and 7 7 , start with the prime factorizations:

2 2 , 5 5 , and 7 7 , as they all are primes.

The LCM is simply their product: 2×5×7=70 2 \, \times \, 5 \, \times \, 7 = 70 .

Answer

70