Least Common Multiple of 31, 21, 90, 90

Q: How to Find the LCM of 31, 21, 90, 90 ?

Least Common Multiple of 31, 21, 90, 90 = 19530 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(31, 21, 90, 90) = 2 x 3 x 3 x 5 x 7 x 31 = 19530.

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 31, 21, 90, 90 i.e. 19530 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 21, 90, 90 is 19530.

LCM(31, 21, 90, 90) = 19530

LCM of 31, 21, 90, 90

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

Least Common Multiple of 31, 21, 90, 90 by common division method
Least Common Multiple of 31, 21, 90, 90 with GCF Formula

Least Common Multiple of 31,21,90,90

Least Common Multiple (LCM) of 31,21,90,90 is 19530

2	31, 21, 90, 90
3	31, 21, 45, 45
3	31, 7, 15, 15
5	31, 7, 5, 5
	31, 7, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 31 x 7 x 1 x 1 = 19530

Least Common Multiple of 31,21,90,90 with GCF Formula

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

We need to calculate greatest common factor of 31,21,90,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,21,90,90) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(31,21,90,90) x common factors =1 x 270 = 270

LCM(31,21,90,90) = ( 31 × 21 × 90 × 90 ) / 270

LCM(31,21,90,90) = 5273100 / 270

LCM(31,21,90,90) = 19530

∴ Least Common Multiple of 31,21,90,90 is 19530

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 31, 21, 90, 90

1. What is the LCM of 31, 21, 90, 90?

Answer: LCM of 31, 21, 90, 90 is 19530.

2. What are the Factors of 19530?

Answer: Factors of 19530 are . There are integers that are factors of 19530

3. How to Find the LCM of 31, 21, 90, 90 ?

Least Common Multiple of 31, 21, 90, 90.

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(31, 21, 90, 90) = 2 x 3 x 3 x 5 x 7 x 31 = 19530.