Least Common Multiple of 64/338, 130/26, 377/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/338, 130/26, 377/226 quickly i.e. 60320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/338, 130/26, 377/226 is 60320.

LCM(64/338, 130/26, 377/226) = 60320

LCM of 64/338, 130/26, 377/226

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 64/338,130/26,377/226

Given numbers are 64/338,130/26,377/226

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 64,130,377

Least Common Multiple of Numerators i.e. LCM of 64,130,377 is 120640.

GCF of Denominators means GCF of 338,26,226 as per the given fractions.

GCF of 338,26,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,130,377

LCM of Fractions 64/338,130/26,377/226 is 60320

2 64, 130, 377
13 32, 65, 377
32, 5, 29

∴ So the LCM of the given numbers is 2 x 13 x 32 x 5 x 29 = 120640

Least Common Multiple of 64,130,377 with GCF Formula

Least Common Multiple of 64,130,377 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 64,130,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,130,377) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(64,130,377) x common factors =1 x 26 = 26

LCM(64,130,377) = ( 64 × 130 × 377 ) / 26

LCM(64,130,377) = 3136640 / 26

LCM(64,130,377) = 120640


Lets's calculate GCF of 338,26,226

2 338, 26, 226
169, 13, 113

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120640/2

Therefore the LCM of Fractions 64/338,130/26,377/226 is 60320

Greatest Common Factor of 338,26,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,26,226 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 26

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

1,2,13,26

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 338,26,226 . The biggest common factor number is the GCF number.
So the greatest common factor 338,26,226 is 2.


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 64/338, 130/26, 377/226

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 64/338, 130/26, 377/226?

Answer: LCM of Numerators as per given numbers 64/338, 130/26, 377/226 is

LCM of Numerators i.e. for 64,130,377 is 120640

GCF of denominators i.e. for 338,26,226 is 2.

Thus, LCM of Fractions is 60320.Finally, LCM of Fractions for 64/338, 130/26, 377/226 is 60320.