Least Common Multiple of 825, 495
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 825, 495 i.e. 2475 smallest integer divisible by all numbers.
Least common multiple (LCM) of 825, 495 is 2475.
LCM(825, 495) = 2475
LCM of 825, 495
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 825, 495 by common division method
- Least Common Multiple of 825, 495 with GCF Formula
Least Common Multiple (LCM) of 825,495 is 2475
| 3 | 825, 495 |
| 5 | 275, 165 |
| 11 | 55, 33 |
| 5, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 5 x 3 = 2475
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 825,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,495) = 165
common factors(in case of two or more numbers have common factors) = 1
GCF(825,495) x common factors =165 x 1 = 165
LCM(825,495) = ( 825 × 495 ) / 165
LCM(825,495) = 408375 / 165
LCM(825,495) = 2475
∴ Least Common Multiple of 825,495 is 2475
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Frequently Asked Questions on LCM of 825, 495
1. What is the LCM of 825, 495?
Answer: LCM of 825, 495 is 2475.
2. What are the Factors of 2475?
Answer: Factors of 2475 are . There are integers that are factors of 2475
3. How to Find the LCM of 825, 495 ?
Least Common Multiple of 825, 495.
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(825, 495) = 3 x 3 x 5 x 5 x 11 = 2475.