Least Common Multiple of 524, 588, 735

Q: How to Find the LCM of 524, 588, 735 ?

Least Common Multiple of 524, 588, 735 = 385140 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(524, 588, 735) = 2 x 2 x 3 x 5 x 7 x 7 x 131 = 385140.

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 524, 588, 735 i.e. 385140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 524, 588, 735 is 385140.

LCM(524, 588, 735) = 385140

LCM of 524, 588, 735

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

Least Common Multiple of 524, 588, 735 by common division method
Least Common Multiple of 524, 588, 735 with GCF Formula

Least Common Multiple of 524,588,735

Least Common Multiple (LCM) of 524,588,735 is 385140

2	524, 588, 735
2	262, 294, 735
3	131, 147, 735
7	131, 49, 245
7	131, 7, 35
	131, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 131 x 1 x 5 = 385140

Least Common Multiple of 524,588,735 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 524,588,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,588,735) = 1

common factors(in case of two or more numbers have common factors) = 588

GCF(524,588,735) x common factors =1 x 588 = 588

LCM(524,588,735) = ( 524 × 588 × 735 ) / 588

LCM(524,588,735) = 226462320 / 588

LCM(524,588,735) = 385140

∴ Least Common Multiple of 524,588,735 is 385140

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 524, 588, 735

1. What is the LCM of 524, 588, 735?

Answer: LCM of 524, 588, 735 is 385140.

2. What are the Factors of 385140?

Answer: Factors of 385140 are . There are integers that are factors of 385140

3. How to Find the LCM of 524, 588, 735 ?

Least Common Multiple of 524, 588, 735.

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(524, 588, 735) = 2 x 2 x 3 x 5 x 7 x 7 x 131 = 385140.