Question

The HCF and LCM of 120,168​

Answer 1

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HCF OF 120, 168.

● Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

● Find the prime factorization of 168

168 = 2 × 2 × 2 × 3 × 7

● To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 2 × 2 × 3

${\huge{\boxed{\mathcal{\red{● HCF = 24.}}}}}$

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LCM OF 120, 168.

● Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

● Find the prime factorization of 168

168 = 2 × 2 × 2 × 3 × 7

● Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

● LCM = 2 × 2 × 2 × 3 × 5 × 7

${\huge{\boxed{\mathcal{\red{● LCM = 840}}}}}$

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Answer 2

Answer:

120 = 2 x 2 x 2 x 3 x 5

160 = 2 x 2 x 2 x 3 x 7

so,

hcf = 2x2x2x3 = 24

lcm= 2x2x2x3x5x7x = 840

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