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 287, 123, 96 i.e. 27552 smallest integer divisible by all numbers.
Least common multiple (LCM) of 287, 123, 96 is 27552.
LCM(287, 123, 96) = 27552
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 287, 123, 96 |
41 | 287, 41, 32 |
7, 1, 32 |
∴ So the LCM of the given numbers is 3 x 41 x 7 x 1 x 32 = 27552
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 287,123,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,123,96) = 1
common factors(in case of two or more numbers have common factors) = 123
GCF(287,123,96) x common factors =1 x 123 = 123
LCM(287,123,96) = ( 287 × 123 × 96 ) / 123
LCM(287,123,96) = 3388896 / 123
LCM(287,123,96) = 27552
∴ Least Common Multiple of 287,123,96 is 27552
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 287, 123, 96?
Answer: LCM of 287, 123, 96 is 27552.
2. What are the Factors of 27552?
Answer: Factors of 27552 are . There are integers that are factors of 27552
3. How to Find the LCM of 287, 123, 96 ?
Least Common Multiple of 287, 123, 96.
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(287, 123, 96) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 = 27552.