Junior Class 5 Answered

Highest Common Factor (HCF)

Least Common Multiple (LCM)

HCF of two or more numbers is the greatest common factor which divides each number without leaving any remainder.

LCM is the smallest common multiple of two or more numbers.

If a number is a factor of another number, then their HCF is the smallest number of the two numbers.

Example: The HCF of 16 and 8 is 8

If a number is a factor of another number, then their LCM is the greater number of the two numbers.

Example: The LCM of 55 and 11 is 55.

The HCF of two or three numbers cannot be greater than any one of the numbers.

Example: The HCF of 24 and 36 is 12, and 12 is less than 24 and 36.

The LCM of two or more than two numbers cannot be less than any one of the given numbers.

Example: The LCM of 18 and 24 is 72, and 72 is greater than both 18 and 24.

The HCF of two co-prime numbers is always 1.

Example: HCF of 5 and 18 is 1.

The LCM of two co-prime numbers is the product of the numbers.

Example: LCM of 9 and 14 is 126.