Least Common Multiple of 144, 432, 115

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 144, 432, 115 i.e. 49680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 432, 115 is 49680.

LCM(144, 432, 115) = 49680

LCM of 144, 432, 115

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

LCM of:

Least Common Multiple of 144,432,115

Least Common Multiple (LCM) of 144,432,115 is 49680

2 144, 432, 115
2 72, 216, 115
2 36, 108, 115
2 18, 54, 115
3 9, 27, 115
3 3, 9, 115
1, 3, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 1 x 3 x 115 = 49680

Least Common Multiple of 144,432,115 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 144,432,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,432,115) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(144,432,115) x common factors =1 x 144 = 144

LCM(144,432,115) = ( 144 × 432 × 115 ) / 144

LCM(144,432,115) = 7153920 / 144

LCM(144,432,115) = 49680

∴ Least Common Multiple of 144,432,115 is 49680

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 144, 432, 115

1. What is the LCM of 144, 432, 115?

Answer: LCM of 144, 432, 115 is 49680.

2. What are the Factors of 49680?

Answer: Factors of 49680 are . There are integers that are factors of 49680

3. How to Find the LCM of 144, 432, 115 ?

Least Common Multiple of 144, 432, 115.

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(144, 432, 115) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 = 49680.