Question

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

Answer 1

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Answer 2

The HCF of 12, 72 and 120​ is 12.

The LCM of 12, 72 and 120​ is 360.

Step-by-step explanation:

To find : What is the LCM and HCF of 12, 72 and 120​ also show that HCF and LCM is not equal to the product of three given numbers​ ?

Solution :

The prime factors of the numbers 12, 72 and 120​,

$12=2\times 2\times 3$

$72=2\times 2\times 2\times 3\times 3$

$120=2\times 2\times 2\times 3\times 5$

HCF is the highest common factor,

$HCF(12,72,120)=2\times 2\times 3$

$HCF(12,72,120)=12$

LCM is the least common factor,

$LCM(12,72,120)=2\times 2\times 2\times 3\times 3\times 5$

$LCM(12,72,120)=360$

Now, Product of three numbers

$P=12\times 72\times 120$

$P=103680$

Multiple of HCF and LCM,

$HCF\times LCM=12\times 360$

$HCF\times LCM=4320$

As HCF and LCM is not equal to the product of three given numbers​.

#Learn more

Divide 616 by 32 using Euclid's division algorithm​

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