Least Common Multiple of 72/393, 427/757, 269/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/393, 427/757, 269/117 quickly i.e. 8270136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/393, 427/757, 269/117 is 8270136.

LCM(72/393, 427/757, 269/117) = 8270136

LCM of 72/393, 427/757, 269/117

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 72/393,427/757,269/117

Given numbers are 72/393,427/757,269/117

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 72,427,269

Least Common Multiple of Numerators i.e. LCM of 72,427,269 is 8270136.

GCF of Denominators means GCF of 393,757,117 as per the given fractions.

GCF of 393,757,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,427,269

LCM of Fractions 72/393,427/757,269/117 is 8270136

Given numbers has no common factors except 1. So, there LCM is their product i.e 8270136

Least Common Multiple of 72,427,269 with GCF Formula

Least Common Multiple of 72,427,269 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 72,427,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,427,269) = 1

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

GCF(72,427,269) x common factors =1 x 1 = 1

LCM(72,427,269) = ( 72 × 427 × 269 ) / 1

LCM(72,427,269) = 8270136 / 1

LCM(72,427,269) = 8270136


Lets's calculate GCF of 393,757,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8270136/1

Therefore the LCM of Fractions 72/393,427/757,269/117 is 8270136

Greatest Common Factor of 393,757,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,757,117 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 393,757,117 . The biggest common factor number is the GCF number.
So the greatest common factor 393,757,117 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 72/393, 427/757, 269/117

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 72/393, 427/757, 269/117?

Answer: LCM of Numerators as per given numbers 72/393, 427/757, 269/117 is

LCM of Numerators i.e. for 72,427,269 is 8270136

GCF of denominators i.e. for 393,757,117 is 1.

Thus, LCM of Fractions is 8270136.Finally, LCM of Fractions for 72/393, 427/757, 269/117 is 8270136.