Question

Find the hcf and lcm of 117 143 and 104 using prime factorization method also show that hcf*lcm product kf no.

Answer 1

117=13*3*3=13*3^2
143=13*11
104=13*2*2*2=13*2^3



LCM(117,143,104)=Product of highest power of each factors
=13*11*3^2*2^3
=10,296

HCF=Product of least power of each common factor.
=13


LCM*HCF only when there are only two numbers not for more than two.

Answer 2

Answer:

17=13*3*3=13*3^2

143=13*11

104=13*2*2*2=13*2^3

LCM=13*11*3^2*2^3

                            =10,296

HCF=13

Lcm*Hcf is not equal to product of nos

13*10296 =/ 17*143*104

133848=/ 252824

hence proved

=/ is not equal to

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