Least Common Multiple of 315, 4200
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, 4200 i.e. 12600 smallest integer divisible by all numbers.
Least common multiple (LCM) of 315, 4200 is 12600.
LCM(315, 4200) = 12600
LCM of 315, 4200
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 315, 4200 by common division method
- Least Common Multiple of 315, 4200 with GCF Formula
Least Common Multiple (LCM) of 315,4200 is 12600
| 3 | 315, 4200 |
| 5 | 105, 1400 |
| 7 | 21, 280 |
| 3, 40 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 3 x 40 = 12600
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 315,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,4200) = 105
common factors(in case of two or more numbers have common factors) = 1
GCF(315,4200) x common factors =105 x 1 = 105
LCM(315,4200) = ( 315 × 4200 ) / 105
LCM(315,4200) = 1323000 / 105
LCM(315,4200) = 12600
∴ Least Common Multiple of 315,4200 is 12600
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 315, 4200
1. What is the LCM of 315, 4200?
Answer: LCM of 315, 4200 is 12600.
2. What are the Factors of 12600?
Answer: Factors of 12600 are . There are integers that are factors of 12600
3. How to Find the LCM of 315, 4200 ?
Least Common Multiple of 315, 4200.
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, 4200) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 = 12600.