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shushovan dey

· started a discussion

· 1 Months ago

doubt (Question:636395.0)

3x 5x & 6x LCM SHOULD BE 30X, as 6 is divisible by 3. so HCF SHOULD BE 72

Knowledge Expert

· commented

· 1 Months ago

Dear student,
We have update the solution .Please check now, keep learning with us

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Sri Kalidas

· started a discussion

· 1 Months ago

doubt (Question:636395.0)

please provide clear explanation for solution

Question:

If three numbers are in the ratio 3:5:6 and their LCM Is 2160, then find their HCF.

Options:
A) 60
B) 81
C) 30
D) 72
Solution:
Ans: (d)

 Let the three numbers be 3x, 5x and 6x

So theirL.C.M. = 3x*5x* 6x= 30x

so, \(\Rightarrow\)30x = 2160

x = 72

 the numbers are (3 x 72), (5 x 72), and (6 x 72)

Hence, required H.C.F. = 72

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