Question

Find the lcm and hcf of 12,7,and 120 using prime factorization

Answer 1

Question :

Find the lcm and hcf of 12,7,and 120 using prime factorization

Answer:

LCM of 840.

and it HCF 12.

Step-by-step explanation:

120 --------2*2*2*3*5.

7-------------7.

12------------2*2*3.

For HCF (120, 7 and 12 ) = 2*2*3 = 12.

For LCM (120 , 7 and 12 ) = 2*2*2*3*5*7 = 840.

Therefore, the value of HCF be 12 and LCM be 840.

Some information

LCM stand for Least common Multiple

HCF stand for Highest Common factor.

Answer 2

${\red{\huge{\underline{\mathbb{Solution :-}}}}} \\ \\ Prime \: factorization \: of \: 12 ,\: 7 \: and \: 120. \\ \\ 12 = 2 \times 2 \times 3 \\ 7 = 1 \times 7 \\ 120 = 2 \times 2 \times 2 \times 3 \times 5 \\ \\ HCF \: meas \: highest \: common \: factor \: . \\ so \: HCF(12 ,\: 7 \: and \: 120) = 2 \times 2 \times 3 = 12 \\ \\ LCM \: means \: lowest \: common \: factor \: . \\ so \: LCM (12 ,\: 7 \: and \: 120) = 2 \times 2 \times 2 \times 3 \times 5 \times 7 = 840 \\ \\ {\blue{\huge{\underline{\mathbb{Answer:-}}}}} \\ \\ \huge{\bold{ LCM = 840 }} \\ \huge{\bold{ HCF= 12}}$

hope its helpful ✌✌