Least Common Multiple of 512, 684

Q: How to Find the LCM of 512, 684 ?

Least Common Multiple of 512, 684 = 87552 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(512, 684) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 87552.

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 512, 684 i.e. 87552 smallest integer divisible by all numbers.

Least common multiple (LCM) of 512, 684 is 87552.

LCM(512, 684) = 87552

LCM of 512, 684

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

Least Common Multiple of 512, 684 by common division method
Least Common Multiple of 512, 684 with GCF Formula

Least Common Multiple of 512,684

Least Common Multiple (LCM) of 512,684 is 87552

2	512, 684
2	256, 342
	128, 171

∴ So the LCM of the given numbers is 2 x 2 x 128 x 171 = 87552

Least Common Multiple of 512,684 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 512,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,684) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(512,684) x common factors =4 x 1 = 4

LCM(512,684) = ( 512 × 684 ) / 4

LCM(512,684) = 350208 / 4

LCM(512,684) = 87552

∴ Least Common Multiple of 512,684 is 87552

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 512, 684

1. What is the LCM of 512, 684?

Answer: LCM of 512, 684 is 87552.

2. What are the Factors of 87552?

Answer: Factors of 87552 are . There are integers that are factors of 87552

3. How to Find the LCM of 512, 684 ?

Least Common Multiple of 512, 684.

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(512, 684) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 87552.