Question

how to decide whether to take LCM OR HCF for a given question
how to calculate LCM AND HCF​

Answer 1

If largest or maximum find then hcf

Nd when smallest or minimum find then lcm

Nd Lcm is always factor of hcf

Answer 2

1.To calculate LCM we must first find the factors of the given numbers.

2.Then we must take out the common factors between them.

3.We must write it aside and then multiply it with the non common factors.

4.The product we get is the LCM of the given numbers.

For example:LCM of 6 and 8

Factors of 6:2,3

Factors of 8:2,2,2

Common factors: 2

Non common factors:2,2,3

Therefore LCM will be

2×2×2×3=24

1.To find HCF we need the to find the factors of the given numbers.

2.Then we must identify the common factors of the given number.

3.Multiply the common factors if the given number.

4.The product formed is the HCF of the given numbers.

For example HCF of 12 and 16

Factors of 12:2,2,3

Factors of 16:2,2,2,2

Common factors:2,2

Therefore HCF will be

2×2=4

Hope it helps!