Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 7)
7.
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
40
80
120
200
Answer: Option
Explanation:

Let the numbers be 3x, 4x and 5x.

Then, their L.C.M. = 60x.

So, 60x = 2400 or x = 40.

The numbers are (3 x 40), (4 x 40) and (5 x 40).

Hence, required H.C.F. = 40.

Discussion:
41 comments Page 5 of 5.

Mehar said:   1 decade ago
Simple way to ans:

three numbers L.C.M=2400;
3x*4x*5x=2400 ==> x(60)=2400;
==> x=40;

Therefore ==> H.C.F=40;


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