Least Common Multiple of 231, 378, 996

Q: How to Find the LCM of 231, 378, 996 ?

Least Common Multiple of 231, 378, 996 = 690228 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(231, 378, 996) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 83 = 690228.

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 231, 378, 996 i.e. 690228 smallest integer divisible by all numbers.

Least common multiple (LCM) of 231, 378, 996 is 690228.

LCM(231, 378, 996) = 690228

LCM of 231, 378, 996

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

Least Common Multiple of 231, 378, 996 by common division method
Least Common Multiple of 231, 378, 996 with GCF Formula

Least Common Multiple of 231,378,996

Least Common Multiple (LCM) of 231,378,996 is 690228

2	231, 378, 996
3	231, 189, 498
7	77, 63, 166
	11, 9, 166

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 9 x 166 = 690228

Least Common Multiple of 231,378,996 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 231,378,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,378,996) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(231,378,996) x common factors =3 x 42 = 126

LCM(231,378,996) = ( 231 × 378 × 996 ) / 126

LCM(231,378,996) = 86968728 / 126

LCM(231,378,996) = 690228

∴ Least Common Multiple of 231,378,996 is 690228

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 231, 378, 996

1. What is the LCM of 231, 378, 996?

Answer: LCM of 231, 378, 996 is 690228.

2. What are the Factors of 690228?

Answer: Factors of 690228 are . There are integers that are factors of 690228

3. How to Find the LCM of 231, 378, 996 ?

Least Common Multiple of 231, 378, 996.

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(231, 378, 996) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 83 = 690228.