What is the LCM of 6, 8, and 5?

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Answer 1 · 2018-03-04T05:55:52

The LCM is $120$ $120$ .

We can use prime factorization of each given number to determine the LCM.

$6 :$ $6:$ $2 \times 3$ $2xxcolor(red)3$

$8 :$ $8:$ $2 \times 2 \times 2$ $color(green)2xxcolor(green)2xxcolor(green)2$

$5 :$ $5:$ $5$ $color(blue)5$

Multiply each factor the maximum times it occurs in the three numbers.

$LCM = 3 \times 2 \times 2 \times 2 \times 5 = 120$ $"LCM"=color(red)3xxcolor(green)2xxcolor(green)2xxcolor(green)2xxcolor(blue)5=120$