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Three numbers are in the ratio 1: 2: 3. If their HCF is 8, then what is their LCM?
Question

Three numbers are in the ratio 1: 2: 3. If their HCF is 8, then what is their LCM?

A.

48

B.

24

C.

120

D.

96

Correct option is A

Given:
The ratio of three numbers = 1 : 2 : 3
H.C.F. = 8
Solution:
Let the numbers be x, 2x, and 3x.
Then, their H.C.F. is x.
So, x = 8.
The numbers will be = 8, 2 × 8, 3 × 8
=> 8, 16, 24
According to the question,
=> L.C.M. of 8, 16 and 24
The common multiple of all three numbers is 48.

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