Least Common Multiple of 275/58, 271/7381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/58, 271/7381 quickly i.e. 74525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/58, 271/7381 is 74525.

LCM(275/58, 271/7381) = 74525

LCM of 275/58, 271/7381

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 275/58,271/7381

Given numbers are 275/58,271/7381

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 275,271

Least Common Multiple of Numerators i.e. LCM of 275,271 is 74525.

GCF of Denominators means GCF of 58,7381 as per the given fractions.

GCF of 58,7381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,271

LCM of Fractions 275/58,271/7381 is 74525

Given numbers has no common factors except 1. So, there LCM is their product i.e 74525

Least Common Multiple of 275,271 with GCF Formula

Least Common Multiple of 275,271 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 275,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,271) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(275,271) x common factors =1 x 1 = 1

LCM(275,271) = ( 275 × 271 ) / 1

LCM(275,271) = 74525 / 1

LCM(275,271) = 74525


Lets's calculate GCF of 58,7381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74525/1

Therefore the LCM of Fractions 275/58,271/7381 is 74525

Greatest Common Factor of 58,7381 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7381 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1,11,61,121,671,7381

Greatest Common Factor

We found the factors 58,7381 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7381 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 275/58, 271/7381

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 275/58, 271/7381?

Answer: LCM of Numerators as per given numbers 275/58, 271/7381 is

LCM of Numerators i.e. for 275,271 is 74525

GCF of denominators i.e. for 58,7381 is 1.

Thus, LCM of Fractions is 74525.Finally, LCM of Fractions for 275/58, 271/7381 is 74525.