Least Common Multiple of 65, 45, 675
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 65, 45, 675 i.e. 8775 smallest integer divisible by all numbers.
Least common multiple (LCM) of 65, 45, 675 is 8775.
LCM(65, 45, 675) = 8775
LCM of 65, 45, 675
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 65, 45, 675 by common division method
- Least Common Multiple of 65, 45, 675 with GCF Formula
Least Common Multiple (LCM) of 65,45,675 is 8775
| 3 | 65, 45, 675 |
| 3 | 65, 15, 225 |
| 5 | 65, 5, 75 |
| 13, 1, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 1 x 15 = 8775
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 65,45,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,45,675) = 5
common factors(in case of two or more numbers have common factors) = 45
GCF(65,45,675) x common factors =5 x 45 = 225
LCM(65,45,675) = ( 65 × 45 × 675 ) / 225
LCM(65,45,675) = 1974375 / 225
LCM(65,45,675) = 8775
∴ Least Common Multiple of 65,45,675 is 8775
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 65, 45, 675
1. What is the LCM of 65, 45, 675?
Answer: LCM of 65, 45, 675 is 8775.
2. What are the Factors of 8775?
Answer: Factors of 8775 are . There are integers that are factors of 8775
3. How to Find the LCM of 65, 45, 675 ?
Least Common Multiple of 65, 45, 675.
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(65, 45, 675) = 3 x 3 x 3 x 5 x 5 x 13 = 8775.