Least Common Multiple of 312, 735, 588

Q: How to Find the LCM of 312, 735, 588 ?

Least Common Multiple of 312, 735, 588 = 76440 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(312, 735, 588) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 = 76440.

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 312, 735, 588 i.e. 76440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 735, 588 is 76440.

LCM(312, 735, 588) = 76440

LCM of 312, 735, 588

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

Least Common Multiple of 312, 735, 588 by common division method
Least Common Multiple of 312, 735, 588 with GCF Formula

Least Common Multiple of 312,735,588

Least Common Multiple (LCM) of 312,735,588 is 76440

2	312, 735, 588
2	156, 735, 294
3	78, 735, 147
7	26, 245, 49
7	26, 35, 7
	26, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 26 x 5 x 1 = 76440

Least Common Multiple of 312,735,588 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 312,735,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,735,588) = 3

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

GCF(312,735,588) x common factors =3 x 588 = 1764

LCM(312,735,588) = ( 312 × 735 × 588 ) / 1764

LCM(312,735,588) = 134840160 / 1764

LCM(312,735,588) = 76440

∴ Least Common Multiple of 312,735,588 is 76440

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 312, 735, 588

1. What is the LCM of 312, 735, 588?

Answer: LCM of 312, 735, 588 is 76440.

2. What are the Factors of 76440?

Answer: Factors of 76440 are . There are integers that are factors of 76440

3. How to Find the LCM of 312, 735, 588 ?

Least Common Multiple of 312, 735, 588.

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(312, 735, 588) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 = 76440.