Least Common Multiple of 115/69, 266/5359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/69, 266/5359 quickly i.e. 1330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/69, 266/5359 is 1330.

LCM(115/69, 266/5359) = 1330

LCM of 115/69, 266/5359

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 115/69,266/5359

Given numbers are 115/69,266/5359

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 115,266

Least Common Multiple of Numerators i.e. LCM of 115,266 is 30590.

GCF of Denominators means GCF of 69,5359 as per the given fractions.

GCF of 69,5359 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,266

LCM of Fractions 115/69,266/5359 is 1330

Given numbers has no common factors except 1. So, there LCM is their product i.e 30590

Least Common Multiple of 115,266 with GCF Formula

Least Common Multiple of 115,266 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 115,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,266) = 1

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

GCF(115,266) x common factors =1 x 1 = 1

LCM(115,266) = ( 115 × 266 ) / 1

LCM(115,266) = 30590 / 1

LCM(115,266) = 30590


Lets's calculate GCF of 69,5359

23 69, 5359
3, 233

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30590/23

Therefore the LCM of Fractions 115/69,266/5359 is 1330

Greatest Common Factor of 69,5359 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,5359 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1,23,233,5359

Greatest Common Factor

We found the factors 69,5359 . The biggest common factor number is the GCF number.
So the greatest common factor 69,5359 is 23.


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 115/69, 266/5359

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 115/69, 266/5359?

Answer: LCM of Numerators as per given numbers 115/69, 266/5359 is

LCM of Numerators i.e. for 115,266 is 30590

GCF of denominators i.e. for 69,5359 is 23.

Thus, LCM of Fractions is 1330.Finally, LCM of Fractions for 115/69, 266/5359 is 1330.