Find the LCM of Denominators: 6, 8, and 10 - Step by Step

Given several denominators, what is their least common multiple?

6   8   10 \boxed6~~~\boxed8 ~~~\boxed{10 }

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1

Understand the problem

Given several denominators, what is their least common multiple?

6   8   10 \boxed6~~~\boxed8 ~~~\boxed{10 }

2

Step-by-step solution

To find the least common multiple (LCM) of the denominators 6,8,106, 8, 10, we need to consider each prime factor of these numbers at their highest power:

  • 6=2×36 = 2 \times 3

  • 8=238 = 2^3

  • 10=2×510 = 2 \times 5

Therefore, the LCM is:

23×3×5=1202^3 \times 3 \times 5 = 120

So, the least common multiple of 6,8,106, 8, 10 is 120120.

3

Final Answer

120

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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