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 315, 912, 285 i.e. 95760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 315, 912, 285 is 95760.
LCM(315, 912, 285) = 95760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 315, 912, 285 |
5 | 105, 304, 95 |
19 | 21, 304, 19 |
21, 16, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 21 x 16 x 1 = 95760
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 315,912,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,912,285) = 3
common factors(in case of two or more numbers have common factors) = 285
GCF(315,912,285) x common factors =3 x 285 = 855
LCM(315,912,285) = ( 315 × 912 × 285 ) / 855
LCM(315,912,285) = 81874800 / 855
LCM(315,912,285) = 95760
∴ Least Common Multiple of 315,912,285 is 95760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 912, 285?
Answer: LCM of 315, 912, 285 is 95760.
2. What are the Factors of 95760?
Answer: Factors of 95760 are . There are integers that are factors of 95760
3. How to Find the LCM of 315, 912, 285 ?
Least Common Multiple of 315, 912, 285.
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(315, 912, 285) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 = 95760.