Least Common Multiple of 589, 868, 728

Q: How to Find the LCM of 589, 868, 728 ?

Least Common Multiple of 589, 868, 728 = 428792 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(589, 868, 728) = 2 x 2 x 2 x 7 x 13 x 19 x 31 = 428792.

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 589, 868, 728 i.e. 428792 smallest integer divisible by all numbers.

Least common multiple (LCM) of 589, 868, 728 is 428792.

LCM(589, 868, 728) = 428792

LCM of 589, 868, 728

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

Least Common Multiple of 589, 868, 728 by common division method
Least Common Multiple of 589, 868, 728 with GCF Formula

Least Common Multiple of 589,868,728

Least Common Multiple (LCM) of 589,868,728 is 428792

2	589, 868, 728
2	589, 434, 364
7	589, 217, 182
31	589, 31, 26
	19, 1, 26

∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 19 x 1 x 26 = 428792

Least Common Multiple of 589,868,728 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 589,868,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,868,728) = 1

common factors(in case of two or more numbers have common factors) = 868

GCF(589,868,728) x common factors =1 x 868 = 868

LCM(589,868,728) = ( 589 × 868 × 728 ) / 868

LCM(589,868,728) = 372191456 / 868

LCM(589,868,728) = 428792

∴ Least Common Multiple of 589,868,728 is 428792

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 589, 868, 728

1. What is the LCM of 589, 868, 728?

Answer: LCM of 589, 868, 728 is 428792.

2. What are the Factors of 428792?

Answer: Factors of 428792 are . There are integers that are factors of 428792

3. How to Find the LCM of 589, 868, 728 ?

Least Common Multiple of 589, 868, 728.

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(589, 868, 728) = 2 x 2 x 2 x 7 x 13 x 19 x 31 = 428792.