Least Common Multiple of 25, 77, 21, 105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 25, 77, 21, 105 i.e. 5775 smallest integer divisible by all numbers.

Least common multiple (LCM) of 25, 77, 21, 105 is 5775.

LCM(25, 77, 21, 105) = 5775

LCM of 25, 77, 21, 105

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 25,77,21,105

Least Common Multiple (LCM) of 25,77,21,105 is 5775

3 25, 77, 21, 105
5 25, 77, 7, 35
7 5, 77, 7, 7
5, 11, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 5 x 11 x 1 x 1 = 5775

Least Common Multiple of 25,77,21,105 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,77,21,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,77,21,105) = 1

common factors(in case of two or more numbers have common factors) = 735

GCF(25,77,21,105) x common factors =1 x 735 = 735

LCM(25,77,21,105) = ( 25 × 77 × 21 × 105 ) / 735

LCM(25,77,21,105) = 4244625 / 735

LCM(25,77,21,105) = 5775

∴ Least Common Multiple of 25,77,21,105 is 5775

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 25, 77, 21, 105

1. What is the LCM of 25, 77, 21, 105?

Answer: LCM of 25, 77, 21, 105 is 5775.

2. What are the Factors of 5775?

Answer: Factors of 5775 are . There are integers that are factors of 5775

3. How to Find the LCM of 25, 77, 21, 105 ?

Least Common Multiple of 25, 77, 21, 105.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(25, 77, 21, 105) = 3 x 5 x 5 x 7 x 11 = 5775.