Find the LCM of Denominators: Calculating LCM(2, 3, 7)

Question

Given three denominators, what is their least common multiple?

$\boxed{3}~~~\boxed{7}~~~\boxed{2}$

Step-by-Step Solution

To find the least common multiple (LCM) of the denominators 3, 7, and 2, we find the smallest positive integer that is divisible by all three numbers. The prime factors are:

$3 = 3$

$7 = 7$

$2 = 2$

Since all numbers are primes, the least common multiple is simply their product:

$3 \times 7 \times 2 = 42$

Answer

Related Subjects

Common denominator

Question Types

Common Denominators: Finding a Common Denominator by Multiplying the Denominators Common Denominators: More than two fractions