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 282, 363, 204 i.e. 1160148 smallest integer divisible by all numbers.
Least common multiple (LCM) of 282, 363, 204 is 1160148.
LCM(282, 363, 204) = 1160148
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 282, 363, 204 |
3 | 141, 363, 102 |
47, 121, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 121 x 34 = 1160148
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 282,363,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,363,204) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(282,363,204) x common factors =3 x 6 = 18
LCM(282,363,204) = ( 282 × 363 × 204 ) / 18
LCM(282,363,204) = 20882664 / 18
LCM(282,363,204) = 1160148
∴ Least Common Multiple of 282,363,204 is 1160148
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 363, 204?
Answer: LCM of 282, 363, 204 is 1160148.
2. What are the Factors of 1160148?
Answer: Factors of 1160148 are . There are integers that are factors of 1160148
3. How to Find the LCM of 282, 363, 204 ?
Least Common Multiple of 282, 363, 204.
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(282, 363, 204) = 2 x 2 x 3 x 11 x 11 x 17 x 47 = 1160148.