Least Common Multiple of 423, 598, 564

Q: How to Find the LCM of 423, 598, 564 ?

Least Common Multiple of 423, 598, 564 = 505908 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(423, 598, 564) = 2 x 2 x 3 x 3 x 13 x 23 x 47 = 505908.

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 423, 598, 564 i.e. 505908 smallest integer divisible by all numbers.

Least common multiple (LCM) of 423, 598, 564 is 505908.

LCM(423, 598, 564) = 505908

LCM of 423, 598, 564

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

Least Common Multiple of 423, 598, 564 by common division method
Least Common Multiple of 423, 598, 564 with GCF Formula

Least Common Multiple of 423,598,564

Least Common Multiple (LCM) of 423,598,564 is 505908

2	423, 598, 564
3	423, 299, 282
47	141, 299, 94
	3, 299, 2

∴ So the LCM of the given numbers is 2 x 3 x 47 x 3 x 299 x 2 = 505908

Least Common Multiple of 423,598,564 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 423,598,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,598,564) = 1

common factors(in case of two or more numbers have common factors) = 282

GCF(423,598,564) x common factors =1 x 282 = 282

LCM(423,598,564) = ( 423 × 598 × 564 ) / 282

LCM(423,598,564) = 142666056 / 282

LCM(423,598,564) = 505908

∴ Least Common Multiple of 423,598,564 is 505908

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 423, 598, 564

1. What is the LCM of 423, 598, 564?

Answer: LCM of 423, 598, 564 is 505908.

2. What are the Factors of 505908?

Answer: Factors of 505908 are . There are integers that are factors of 505908

3. How to Find the LCM of 423, 598, 564 ?

Least Common Multiple of 423, 598, 564.

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(423, 598, 564) = 2 x 2 x 3 x 3 x 13 x 23 x 47 = 505908.