Least Common Multiple of 428, 312, 559

Q: How to Find the LCM of 428, 312, 559 ?

Least Common Multiple of 428, 312, 559 = 1435512 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(428, 312, 559) = 2 x 2 x 2 x 3 x 13 x 43 x 107 = 1435512.

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 428, 312, 559 i.e. 1435512 smallest integer divisible by all numbers.

Least common multiple (LCM) of 428, 312, 559 is 1435512.

LCM(428, 312, 559) = 1435512

LCM of 428, 312, 559

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

Least Common Multiple of 428, 312, 559 by common division method
Least Common Multiple of 428, 312, 559 with GCF Formula

Least Common Multiple of 428,312,559

Least Common Multiple (LCM) of 428,312,559 is 1435512

2	428, 312, 559
2	214, 156, 559
13	107, 78, 559
	107, 6, 43

∴ So the LCM of the given numbers is 2 x 2 x 13 x 107 x 6 x 43 = 1435512

Least Common Multiple of 428,312,559 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 428,312,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,312,559) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(428,312,559) x common factors =1 x 52 = 52

LCM(428,312,559) = ( 428 × 312 × 559 ) / 52

LCM(428,312,559) = 74646624 / 52

LCM(428,312,559) = 1435512

∴ Least Common Multiple of 428,312,559 is 1435512

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 428, 312, 559

1. What is the LCM of 428, 312, 559?

Answer: LCM of 428, 312, 559 is 1435512.

2. What are the Factors of 1435512?

Answer: Factors of 1435512 are . There are integers that are factors of 1435512

3. How to Find the LCM of 428, 312, 559 ?

Least Common Multiple of 428, 312, 559.

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(428, 312, 559) = 2 x 2 x 2 x 3 x 13 x 43 x 107 = 1435512.