Least Common Multiple of 315, 7875
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, 7875 i.e. 7875 smallest integer divisible by all numbers.
Least common multiple (LCM) of 315, 7875 is 7875.
LCM(315, 7875) = 7875
LCM of 315, 7875
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 315, 7875 by common division method
- Least Common Multiple of 315, 7875 with GCF Formula
Least Common Multiple (LCM) of 315,7875 is 7875
| 3 | 315, 7875 |
| 3 | 105, 2625 |
| 5 | 35, 875 |
| 7 | 7, 175 |
| 1, 25 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 25 = 7875
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 315,7875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,7875) = 315
common factors(in case of two or more numbers have common factors) = 1
GCF(315,7875) x common factors =315 x 1 = 315
LCM(315,7875) = ( 315 × 7875 ) / 315
LCM(315,7875) = 2480625 / 315
LCM(315,7875) = 7875
∴ Least Common Multiple of 315,7875 is 7875
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Frequently Asked Questions on LCM of 315, 7875
1. What is the LCM of 315, 7875?
Answer: LCM of 315, 7875 is 7875.
2. What are the Factors of 7875?
Answer: Factors of 7875 are . There are integers that are factors of 7875
3. How to Find the LCM of 315, 7875 ?
Least Common Multiple of 315, 7875.
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, 7875) = 3 x 3 x 5 x 5 x 5 x 7 = 7875.