Least Common Multiple of 338/26, 138/9357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/26, 138/9357 quickly i.e. 23322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/26, 138/9357 is 23322.

LCM(338/26, 138/9357) = 23322

LCM of 338/26, 138/9357

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 338/26,138/9357

Given numbers are 338/26,138/9357

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 338,138

Least Common Multiple of Numerators i.e. LCM of 338,138 is 23322.

GCF of Denominators means GCF of 26,9357 as per the given fractions.

GCF of 26,9357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,138

LCM of Fractions 338/26,138/9357 is 23322

2 338, 138
169, 69

∴ So the LCM of the given numbers is 2 x 169 x 69 = 23322

Least Common Multiple of 338,138 with GCF Formula

Least Common Multiple of 338,138 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 338,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,138) = 2

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

GCF(338,138) x common factors =2 x 1 = 2

LCM(338,138) = ( 338 × 138 ) / 2

LCM(338,138) = 46644 / 2

LCM(338,138) = 23322


Lets's calculate GCF of 26,9357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23322/1

Therefore the LCM of Fractions 338/26,138/9357 is 23322

Greatest Common Factor of 26,9357 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,9357 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Greatest Common Factor

We found the factors 26,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9357 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 338/26, 138/9357

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 338/26, 138/9357?

Answer: LCM of Numerators as per given numbers 338/26, 138/9357 is

LCM of Numerators i.e. for 338,138 is 23322

GCF of denominators i.e. for 26,9357 is 1.

Thus, LCM of Fractions is 23322.Finally, LCM of Fractions for 338/26, 138/9357 is 23322.