Question

Find HCF and LCM of 12 , 72 and 120 by Prime factorization method.
and the perimeter is 32 cm.

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Answer 1

Answer:

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 312=2×2×3

72=2\times 2\times 2\times 3\times 372=2×2×2×3×3

120=2\times 2\times 2\times 3\times 5120=2×2×2×3×5

HCF is the highest common factor,

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

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

LCM is the least common factor,

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

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

Now, Product of three numbers

P=12\times 72\times 120P=12×72×120

P=103680P=103680

Multiple of HCF and LCM,

HCF\times LCM=12\times 360HCF×LCM=12×360

HCF\times LCM=4320HCF×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

https://brainly.in/question/9068914

Step-by-step explanation:

pls Mark as brainlist answer

Answer 2

LCM is 2×2×2×3×3×5 = 360.