Least Common Multiple of 75, 51, 85
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 75, 51, 85 i.e. 1275 smallest integer divisible by all numbers.
Least common multiple (LCM) of 75, 51, 85 is 1275.
LCM(75, 51, 85) = 1275
LCM of 75, 51, 85
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 75, 51, 85 by common division method
- Least Common Multiple of 75, 51, 85 with GCF Formula
Least Common Multiple (LCM) of 75,51,85 is 1275
| 3 | 75, 51, 85 |
| 5 | 25, 17, 85 |
| 17 | 5, 17, 17 |
| 5, 1, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 5 x 1 x 1 = 1275
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 75,51,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,51,85) = 1
common factors(in case of two or more numbers have common factors) = 255
GCF(75,51,85) x common factors =1 x 255 = 255
LCM(75,51,85) = ( 75 × 51 × 85 ) / 255
LCM(75,51,85) = 325125 / 255
LCM(75,51,85) = 1275
∴ Least Common Multiple of 75,51,85 is 1275
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 75, 51, 85
1. What is the LCM of 75, 51, 85?
Answer: LCM of 75, 51, 85 is 1275.
2. What are the Factors of 1275?
Answer: Factors of 1275 are . There are integers that are factors of 1275
3. How to Find the LCM of 75, 51, 85 ?
Least Common Multiple of 75, 51, 85.
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(75, 51, 85) = 3 x 5 x 5 x 17 = 1275.