Least Common Multiple of 20, 90, 25, 968

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 20, 90, 25, 968 i.e. 217800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 90, 25, 968 is 217800.

LCM(20, 90, 25, 968) = 217800

LCM of 20, 90, 25, 968

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

LCM of:

Least Common Multiple of 20,90,25,968

Least Common Multiple (LCM) of 20,90,25,968 is 217800

2 20, 90, 25, 968
2 10, 45, 25, 484
5 5, 45, 25, 242
1, 9, 5, 242

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 9 x 5 x 242 = 217800

Least Common Multiple of 20,90,25,968 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 20,90,25,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,90,25,968) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(20,90,25,968) x common factors =1 x 200 = 200

LCM(20,90,25,968) = ( 20 × 90 × 25 × 968 ) / 200

LCM(20,90,25,968) = 43560000 / 200

LCM(20,90,25,968) = 217800

∴ Least Common Multiple of 20,90,25,968 is 217800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 20, 90, 25, 968

1. What is the LCM of 20, 90, 25, 968?

Answer: LCM of 20, 90, 25, 968 is 217800.

2. What are the Factors of 217800?

Answer: Factors of 217800 are . There are integers that are factors of 217800

3. How to Find the LCM of 20, 90, 25, 968 ?

Least Common Multiple of 20, 90, 25, 968.

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(20, 90, 25, 968) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 11 = 217800.