Least Common Multiple of 269/38, 832/47, 959/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/38, 832/47, 959/226 quickly i.e. 214631872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/38, 832/47, 959/226 is 214631872.

LCM(269/38, 832/47, 959/226) = 214631872

LCM of 269/38, 832/47, 959/226

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 269/38,832/47,959/226

Given numbers are 269/38,832/47,959/226

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 269,832,959

Least Common Multiple of Numerators i.e. LCM of 269,832,959 is 214631872.

GCF of Denominators means GCF of 38,47,226 as per the given fractions.

GCF of 38,47,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,832,959

LCM of Fractions 269/38,832/47,959/226 is 214631872

Given numbers has no common factors except 1. So, there LCM is their product i.e 214631872

Least Common Multiple of 269,832,959 with GCF Formula

Least Common Multiple of 269,832,959 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 269,832,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,832,959) = 1

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

GCF(269,832,959) x common factors =1 x 1 = 1

LCM(269,832,959) = ( 269 × 832 × 959 ) / 1

LCM(269,832,959) = 214631872 / 1

LCM(269,832,959) = 214631872


Lets's calculate GCF of 38,47,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214631872/1

Therefore the LCM of Fractions 269/38,832/47,959/226 is 214631872

Greatest Common Factor of 38,47,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,47,226 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 38,47,226 . The biggest common factor number is the GCF number.
So the greatest common factor 38,47,226 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 269/38, 832/47, 959/226

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 269/38, 832/47, 959/226?

Answer: LCM of Numerators as per given numbers 269/38, 832/47, 959/226 is

LCM of Numerators i.e. for 269,832,959 is 214631872

GCF of denominators i.e. for 38,47,226 is 1.

Thus, LCM of Fractions is 214631872.Finally, LCM of Fractions for 269/38, 832/47, 959/226 is 214631872.