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Question

Three numbers are in the ratio 3:4:5 and their L.C.M. is 2400.What is their H.C.F?

A
200
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B
40
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C
80
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D
120
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Solution

The correct option is B 40
Let the number be 3x,4x and 5x
Then their L.C.M=60x
60x=2400
x=240060=40
Numbers are (3×40),(4×40)and(5×40)
Then H.C.F=40




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