Calculate LCM of Denominators: Finding the Least Common Multiple of 3, 5, and 7

Given several denominators, what is their least common multiple?

573 \boxed{5} \boxed{7} \boxed{3}

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1

Understand the problem

Given several denominators, what is their least common multiple?

573 \boxed{5} \boxed{7} \boxed{3}

2

Step-by-step solution

The least common multiple (LCM) of 5,7, and 35, 7, \text{ and } 3 is the smallest positive integer that is divisible by each of these numbers.

First, calculate the LCM by multiplying the numbers, as they are all prime:

LCM is 5×7×3=1055 \times 7 \times 3 = 105.

So the least common multiple is 105105.

3

Final Answer

105

Practice Quiz

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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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