Least Common Multiple of 375, 6825
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 375, 6825 i.e. 34125 smallest integer divisible by all numbers.
Least common multiple (LCM) of 375, 6825 is 34125.
LCM(375, 6825) = 34125
LCM of 375, 6825
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 375, 6825 by common division method
- Least Common Multiple of 375, 6825 with GCF Formula
Least Common Multiple (LCM) of 375,6825 is 34125
| 3 | 375, 6825 |
| 5 | 125, 2275 |
| 5 | 25, 455 |
| 5, 91 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 5 x 91 = 34125
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 375,6825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,6825) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(375,6825) x common factors =75 x 1 = 75
LCM(375,6825) = ( 375 × 6825 ) / 75
LCM(375,6825) = 2559375 / 75
LCM(375,6825) = 34125
∴ Least Common Multiple of 375,6825 is 34125
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Frequently Asked Questions on LCM of 375, 6825
1. What is the LCM of 375, 6825?
Answer: LCM of 375, 6825 is 34125.
2. What are the Factors of 34125?
Answer: Factors of 34125 are . There are integers that are factors of 34125
3. How to Find the LCM of 375, 6825 ?
Least Common Multiple of 375, 6825.
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(375, 6825) = 3 x 5 x 5 x 5 x 7 x 13 = 34125.