Question

find the LCM and HCF of 12, 72 and 120 using prime factorization and show that HCF is not equal to product of three given numbers​

Answer 1

prime factorization of 12 is 2,2,3

prime factorization of 72 is 2,2,2,3,3

prime factorization of 120 is 2,2,2,3,5

lcm of 12,72,120 is 360

hcf of 12 72 120 is 12

now product of 12 72 120 is 103680

so hcf and product of 12 62 120 is not equal

hope u understood

Answer 2

Step-by-step explanation:

12=2*2*3

72=2*2*2*3*3

120=2*2*2*3*5

HCF(12,72,120)=2*2*3=12

AND

LCM=2*2*3*2*2*3*5=48*15=720

now to prove is 12*72*120 is not equal to LCM*HCF

12*72*120=1440*72=103680

and

LCM *HCF =720*12= 4860

so

103680 is not equal to 4860

HENCE PROVED

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