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, 105, 549 i.e. 19215 smallest integer divisible by all numbers.
Least common multiple (LCM) of 315, 105, 549 is 19215.
LCM(315, 105, 549) = 19215
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 315, 105, 549 |
3 | 105, 35, 183 |
5 | 35, 35, 61 |
7 | 7, 7, 61 |
1, 1, 61 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 1 x 61 = 19215
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 315,105,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,105,549) = 3
common factors(in case of two or more numbers have common factors) = 315
GCF(315,105,549) x common factors =3 x 315 = 945
LCM(315,105,549) = ( 315 × 105 × 549 ) / 945
LCM(315,105,549) = 18158175 / 945
LCM(315,105,549) = 19215
∴ Least Common Multiple of 315,105,549 is 19215
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 105, 549?
Answer: LCM of 315, 105, 549 is 19215.
2. What are the Factors of 19215?
Answer: Factors of 19215 are . There are integers that are factors of 19215
3. How to Find the LCM of 315, 105, 549 ?
Least Common Multiple of 315, 105, 549.
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, 105, 549) = 3 x 3 x 5 x 7 x 61 = 19215.