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, 249, 144 i.e. 11952 smallest integer divisible by all numbers.
Least common multiple (LCM) of 249, 249, 144 is 11952.
LCM(249, 249, 144) = 11952
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 249, 249, 144 |
83 | 83, 83, 48 |
1, 1, 48 |
∴ So the LCM of the given numbers is 3 x 83 x 1 x 1 x 48 = 11952
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 249,249,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,249,144) = 3
common factors(in case of two or more numbers have common factors) = 249
GCF(249,249,144) x common factors =3 x 249 = 747
LCM(249,249,144) = ( 249 × 249 × 144 ) / 747
LCM(249,249,144) = 8928144 / 747
LCM(249,249,144) = 11952
∴ Least Common Multiple of 249,249,144 is 11952
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 249, 144?
Answer: LCM of 249, 249, 144 is 11952.
2. What are the Factors of 11952?
Answer: Factors of 11952 are . There are integers that are factors of 11952
3. How to Find the LCM of 249, 249, 144 ?
Least Common Multiple of 249, 249, 144.
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, 249, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 83 = 11952.