Find the LCM of Numerators: Calculating LCM(3, 5, 7)

Determine the least common multiple (LCM) of the following numerators:

$\boxed{3} ~~~ \boxed{7} ~~~ \boxed{5}$

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Determine the least common multiple (LCM) of the following numerators:

$\boxed{3} ~~~ \boxed{7} ~~~ \boxed{5}$

To find the least common multiple (LCM) of the numbers 3, 7, and 5, we use the prime factorization method:

Prime factors of each number:

The LCM is the product of the highest powers of all prime factors:

$3^1 \times 7^1 \times 5^1 = 3 \times 7 \times 5 = 105$

105

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Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

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