Least Common Multiple of 75/265, 27/271, 125/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/265, 27/271, 125/857 quickly i.e. 3375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/265, 27/271, 125/857 is 3375.

LCM(75/265, 27/271, 125/857) = 3375

LCM of 75/265, 27/271, 125/857

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 75/265,27/271,125/857

Given numbers are 75/265,27/271,125/857

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 75,27,125

Least Common Multiple of Numerators i.e. LCM of 75,27,125 is 3375.

GCF of Denominators means GCF of 265,271,857 as per the given fractions.

GCF of 265,271,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,27,125

LCM of Fractions 75/265,27/271,125/857 is 3375

3 75, 27, 125
5 25, 9, 125
5 5, 9, 25
1, 9, 5

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 9 x 5 = 3375

Least Common Multiple of 75,27,125 with GCF Formula

Least Common Multiple of 75,27,125 with GCF Formula

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 75,27,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,27,125) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(75,27,125) x common factors =1 x 75 = 75

LCM(75,27,125) = ( 75 × 27 × 125 ) / 75

LCM(75,27,125) = 253125 / 75

LCM(75,27,125) = 3375


Lets's calculate GCF of 265,271,857

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3375/1

Therefore the LCM of Fractions 75/265,27/271,125/857 is 3375

Greatest Common Factor of 265,271,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,271,857 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 265,271,857 . The biggest common factor number is the GCF number.
So the greatest common factor 265,271,857 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 75/265, 27/271, 125/857

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 75/265, 27/271, 125/857?

Answer: LCM of Numerators as per given numbers 75/265, 27/271, 125/857 is

LCM of Numerators i.e. for 75,27,125 is 3375

GCF of denominators i.e. for 265,271,857 is 1.

Thus, LCM of Fractions is 3375.Finally, LCM of Fractions for 75/265, 27/271, 125/857 is 3375.