Least Common Multiple of 231, 130, 378, 338, 896

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, 130, 378, 338, 896 i.e. 224864640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 231, 130, 378, 338, 896 is 224864640.

LCM(231, 130, 378, 338, 896) = 224864640

LCM of 231, 130, 378, 338, 896

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

LCM of:

Least Common Multiple of 231,130,378,338,896

Least Common Multiple (LCM) of 231,130,378,338,896 is 224864640

2 231, 130, 378, 338, 896
3 231, 65, 189, 169, 448
7 77, 65, 63, 169, 448
13 11, 65, 9, 169, 64
11, 5, 9, 13, 64

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 11 x 5 x 9 x 13 x 64 = 224864640

Least Common Multiple of 231,130,378,338,896 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 231,130,378,338,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,130,378,338,896) = 1

common factors(in case of two or more numbers have common factors) = 15288

GCF(231,130,378,338,896) x common factors =1 x 15288 = 15288

LCM(231,130,378,338,896) = ( 231 × 130 × 378 × 338 × 896 ) / 15288

LCM(231,130,378,338,896) = 3437730616320 / 15288

LCM(231,130,378,338,896) = 224864640

∴ Least Common Multiple of 231,130,378,338,896 is 224864640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 231, 130, 378, 338, 896

1. What is the LCM of 231, 130, 378, 338, 896?

Answer: LCM of 231, 130, 378, 338, 896 is 224864640.

2. What are the Factors of 224864640?

Answer: Factors of 224864640 are . There are integers that are factors of 224864640

3. How to Find the LCM of 231, 130, 378, 338, 896 ?

Least Common Multiple of 231, 130, 378, 338, 896.

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, 130, 378, 338, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 13 x 13 = 224864640.