Least Common Multiple of 90, 69, 21, 420

Q: How to Find the LCM of 90, 69, 21, 420 ?

Least Common Multiple of 90, 69, 21, 420 = 28980 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(90, 69, 21, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 23 = 28980.

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 90, 69, 21, 420 i.e. 28980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 69, 21, 420 is 28980.

LCM(90, 69, 21, 420) = 28980

LCM of 90, 69, 21, 420

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

Least Common Multiple of 90, 69, 21, 420 by common division method
Least Common Multiple of 90, 69, 21, 420 with GCF Formula

Least Common Multiple of 90,69,21,420

Least Common Multiple (LCM) of 90,69,21,420 is 28980

2	90, 69, 21, 420
3	45, 69, 21, 210
5	15, 23, 7, 70
7	3, 23, 7, 14
	3, 23, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 23 x 1 x 2 = 28980

Least Common Multiple of 90,69,21,420 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 90,69,21,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,69,21,420) = 3

common factors(in case of two or more numbers have common factors) = 630

GCF(90,69,21,420) x common factors =3 x 630 = 1890

LCM(90,69,21,420) = ( 90 × 69 × 21 × 420 ) / 1890

LCM(90,69,21,420) = 54772200 / 1890

LCM(90,69,21,420) = 28980

∴ Least Common Multiple of 90,69,21,420 is 28980

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 90, 69, 21, 420

1. What is the LCM of 90, 69, 21, 420?

Answer: LCM of 90, 69, 21, 420 is 28980.

2. What are the Factors of 28980?

Answer: Factors of 28980 are . There are integers that are factors of 28980

3. How to Find the LCM of 90, 69, 21, 420 ?

Least Common Multiple of 90, 69, 21, 420.

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(90, 69, 21, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 23 = 28980.