Question

3) The HCF and LCM of 6, 72 and 120 are respectively?​

Answer 1

6 is the highest common factor of 6,72,120

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Answer 2

Answer:

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

Step-by-step explanation:

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