Question

Find lcm and hcf of 6,72,120 by prime factorisation

Answer 1

6=2*3<br />72=2*2*2*3*3<br />120=2*2*2*3*5<br />hcf(highest common factor)=2*3=6<br />LCM(least common multiplier)=2*3*2*2*3*2*2*5<br /> =1440

Answer 2

Answer:

The LCM and HCF of  6,72,120 is 360 and 6 respectively.

Step-by-step explanation:

Given : 6,72,120

To Find: Find lcm and hcf of 6,72,120 by prime factorization

Solution:

HCF of 6 , 72 and 120

2 | 6     2 | 72      2 | 120

3 | 3     2 | 36      2 | 60

  | 1      2 | 18      2  | 30

           3 | 9        3  | 15

           3 | 3        5  | 5

              | 1             | 1

$6 = 2 \times 3$

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

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

$HCF = 2 \times 3$

$HCF = 6$

LCM of  6,72,120

2 | 6 , 72 , 120

2 | 3 , 36 , 60

2 | 3 , 18  , 30

3 | 3 , 9 ,15

3 | 1,3,5

5 | 1,1,5

  | 1,1,1

$LCM = 2 \times 2 \times 2 \times 3 \times 3 \times 5$

$LCM = 360$

Hence the LCM and HCF of  6,72,120 is 360 and 6 respectively.