find LCM and hcf of 72 and 108 .verify that lcm x hcf= product of two numbers
Answers
Answered by
5
LCM = 216
HCF = 36
72*108 = 7776
216*36 = 7776
Q.E.D.
HCF = 36
72*108 = 7776
216*36 = 7776
Q.E.D.
Answered by
11
First do the prime factorisation of both the numbers:
72 = 2*2*2*3*3
108 = 2*2*3*3*3
So the common factors are 2,2,3 and 3 (see the bold digits)
Therefore HCF = 2*2*3*3 = 36
And LCM = 2*2*2*3*3*3 = 216
So the verification is
HCF*LCM = Product of two digits
36*216 = 72*108
7776 = 7776
Since, LHS = RHS
Hence, verified.
Ok your solution is completed, please mark best answer.
72 = 2*2*2*3*3
108 = 2*2*3*3*3
So the common factors are 2,2,3 and 3 (see the bold digits)
Therefore HCF = 2*2*3*3 = 36
And LCM = 2*2*2*3*3*3 = 216
So the verification is
HCF*LCM = Product of two digits
36*216 = 72*108
7776 = 7776
Since, LHS = RHS
Hence, verified.
Ok your solution is completed, please mark best answer.
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