Least Common Multiple of 564, 3512

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 564, 3512 i.e. 495192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 564, 3512 is 495192.

LCM(564, 3512) = 495192

LCM of 564, 3512

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

LCM of:

Least Common Multiple of 564,3512

Least Common Multiple (LCM) of 564,3512 is 495192

2 564, 3512
2 282, 1756
141, 878

∴ So the LCM of the given numbers is 2 x 2 x 141 x 878 = 495192

Least Common Multiple of 564,3512 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 564,3512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,3512) = 4

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

GCF(564,3512) x common factors =4 x 1 = 4

LCM(564,3512) = ( 564 × 3512 ) / 4

LCM(564,3512) = 1980768 / 4

LCM(564,3512) = 495192

∴ Least Common Multiple of 564,3512 is 495192

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 564, 3512

1. What is the LCM of 564, 3512?

Answer: LCM of 564, 3512 is 495192.

2. What are the Factors of 495192?

Answer: Factors of 495192 are . There are integers that are factors of 495192

3. How to Find the LCM of 564, 3512 ?

Least Common Multiple of 564, 3512.

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(564, 3512) = 2 x 2 x 2 x 3 x 47 x 439 = 495192.