Question

find the HCF and LCM of 6,72,120 using prime factorisation​

Answer 1

Step-by-step explanation:

We have : 6=2×3,72=2

3

×3

2

,120=2

3

×3×5

Here, 2

1

and 3

1

are the smallest powers of the common factors 2 and 3 respectively.

So, HCF(6,72,120)=2

1

×3

1

=2×3=6

2

3

,3

2

and 5

1

, are the greatest powers of the prime factors 2,3 and 5 respectively involved in the three numbers.

So, LCM(6,72,120)=2

3

×3

2

×5

1

=360