Least Common Multiple of 249, 144, 111

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 249, 144, 111 i.e. 442224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 249, 144, 111 is 442224.

LCM(249, 144, 111) = 442224

LCM of 249, 144, 111

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

LCM of:

Least Common Multiple of 249,144,111

Least Common Multiple (LCM) of 249,144,111 is 442224

3 249, 144, 111
83, 48, 37

∴ So the LCM of the given numbers is 3 x 83 x 48 x 37 = 442224

Least Common Multiple of 249,144,111 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 249,144,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,144,111) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(249,144,111) x common factors =3 x 3 = 9

LCM(249,144,111) = ( 249 × 144 × 111 ) / 9

LCM(249,144,111) = 3980016 / 9

LCM(249,144,111) = 442224

∴ Least Common Multiple of 249,144,111 is 442224

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 249, 144, 111

1. What is the LCM of 249, 144, 111?

Answer: LCM of 249, 144, 111 is 442224.

2. What are the Factors of 442224?

Answer: Factors of 442224 are . There are integers that are factors of 442224

3. How to Find the LCM of 249, 144, 111 ?

Least Common Multiple of 249, 144, 111.

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(249, 144, 111) = 2 x 2 x 2 x 2 x 3 x 3 x 37 x 83 = 442224.