Least Common Multiple of 34, 57, 512

Q: How to Find the LCM of 34, 57, 512 ?

Least Common Multiple of 34, 57, 512 = 496128 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(34, 57, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 496128.

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 34, 57, 512 i.e. 496128 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 57, 512 is 496128.

LCM(34, 57, 512) = 496128

LCM of 34, 57, 512

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

Least Common Multiple of 34, 57, 512 by common division method
Least Common Multiple of 34, 57, 512 with GCF Formula

Least Common Multiple of 34,57,512

Least Common Multiple (LCM) of 34,57,512 is 496128

2	34, 57, 512
	17, 57, 256

∴ So the LCM of the given numbers is 2 x 17 x 57 x 256 = 496128

Least Common Multiple of 34,57,512 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 34,57,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,57,512) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,57,512) x common factors =1 x 2 = 2

LCM(34,57,512) = ( 34 × 57 × 512 ) / 2

LCM(34,57,512) = 992256 / 2

LCM(34,57,512) = 496128

∴ Least Common Multiple of 34,57,512 is 496128

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 34, 57, 512

1. What is the LCM of 34, 57, 512?

Answer: LCM of 34, 57, 512 is 496128.

2. What are the Factors of 496128?

Answer: Factors of 496128 are . There are integers that are factors of 496128

3. How to Find the LCM of 34, 57, 512 ?

Least Common Multiple of 34, 57, 512.

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(34, 57, 512) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 496128.