Question

Three numbers are in ratio 4:5:6 their LCM is 1200. Find their HCF​

Answer 1

Thanks for the question!

It is definitely a very interesting question to solve and do some brainstorming.

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

 Then, their L.C.M. = 60x.

 So, 60x = 1200 or x = 20.

 

 The numbers are (3 x 20), (4 x 20) and (5 x 20) i.e. 60, 80, 100

 Hence, required H.C.F. = 20.

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