Least Common Multiple of 21, 87, 374, 580

Q: How to Find the LCM of 21, 87, 374, 580 ?

Least Common Multiple of 21, 87, 374, 580 = 2277660 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(21, 87, 374, 580) = 2 x 2 x 3 x 5 x 7 x 11 x 17 x 29 = 2277660.

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 21, 87, 374, 580 i.e. 2277660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 87, 374, 580 is 2277660.

LCM(21, 87, 374, 580) = 2277660

LCM of 21, 87, 374, 580

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

Least Common Multiple of 21, 87, 374, 580 by common division method
Least Common Multiple of 21, 87, 374, 580 with GCF Formula

Least Common Multiple of 21,87,374,580

Least Common Multiple (LCM) of 21,87,374,580 is 2277660

2	21, 87, 374, 580
3	21, 87, 187, 290
29	7, 29, 187, 290
	7, 1, 187, 10

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 1 x 187 x 10 = 2277660

Least Common Multiple of 21,87,374,580 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 21,87,374,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,87,374,580) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(21,87,374,580) x common factors =1 x 174 = 174

LCM(21,87,374,580) = ( 21 × 87 × 374 × 580 ) / 174

LCM(21,87,374,580) = 396312840 / 174

LCM(21,87,374,580) = 2277660

∴ Least Common Multiple of 21,87,374,580 is 2277660

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 21, 87, 374, 580

1. What is the LCM of 21, 87, 374, 580?

Answer: LCM of 21, 87, 374, 580 is 2277660.

2. What are the Factors of 2277660?

Answer: Factors of 2277660 are . There are integers that are factors of 2277660

3. How to Find the LCM of 21, 87, 374, 580 ?

Least Common Multiple of 21, 87, 374, 580.

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(21, 87, 374, 580) = 2 x 2 x 3 x 5 x 7 x 11 x 17 x 29 = 2277660.