Question

what is the least common multiple of the numbers 90,60,75,and35

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Answer 1

5(90,60,75,35

3(18,12,15,13

2(6, 4, 5, 13

3, 2, 5, 13

LCM = 5×3×2×13 = 390 (ans)

Answer 2

The least common multiple of the numbers 90,60,75,and 35  is 1260.

Step-by-step explanation:

Given : Numbers 90,60,75, and 35.

To find : What is the least common multiple of the numbers ?

Solution :

First we factories each term,

$90=2\times 3\times 3\times 5$

$60=2\times 2\times 3\times 5$

$75=3\times 5\times 5$

$35=5\times 7$

LCM is the least common multiple,

$LCM(90,60,75,35)=2\times 2\times 3\times 3\times5\times 7$

$LCM(90,60,75,35)=1260$

Therefore, the least common multiple of the numbers 90,60,75,and 35  is 1260.

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