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Finding LCM of Two Numbers

If two number...

Question

If two numbers are in the ratio 6:13 and their L.C.M is 312, find the numbers.

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Solution

Let the required number be 6x and 13x.
So, their LCM is 78x
So,
78x = 312
x = 312/78
x = 4
The required numbers are
6x = 6 × 4
= 24
and
13x = 13 × 4
= 52
The two numbers are 24 and 52

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