Least Common Multiple of 687, 840, 452

Q: How to Find the LCM of 687, 840, 452 ?

Least Common Multiple of 687, 840, 452 = 21736680 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(687, 840, 452) = 2 x 2 x 2 x 3 x 5 x 7 x 113 x 229 = 21736680.

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 687, 840, 452 i.e. 21736680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 687, 840, 452 is 21736680.

LCM(687, 840, 452) = 21736680

LCM of 687, 840, 452

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

Least Common Multiple of 687, 840, 452 by common division method
Least Common Multiple of 687, 840, 452 with GCF Formula

Least Common Multiple of 687,840,452

Least Common Multiple (LCM) of 687,840,452 is 21736680

2	687, 840, 452
2	687, 420, 226
3	687, 210, 113
	229, 70, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 229 x 70 x 113 = 21736680

Least Common Multiple of 687,840,452 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 687,840,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,840,452) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(687,840,452) x common factors =1 x 12 = 12

LCM(687,840,452) = ( 687 × 840 × 452 ) / 12

LCM(687,840,452) = 260840160 / 12

LCM(687,840,452) = 21736680

∴ Least Common Multiple of 687,840,452 is 21736680

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 687, 840, 452

1. What is the LCM of 687, 840, 452?

Answer: LCM of 687, 840, 452 is 21736680.

2. What are the Factors of 21736680?

Answer: Factors of 21736680 are . There are integers that are factors of 21736680

3. How to Find the LCM of 687, 840, 452 ?

Least Common Multiple of 687, 840, 452.

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(687, 840, 452) = 2 x 2 x 2 x 3 x 5 x 7 x 113 x 229 = 21736680.