Least Common Multiple of 48/204, 613/713, 439/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/204, 613/713, 439/354 quickly i.e. 12917136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/204, 613/713, 439/354 is 12917136.

LCM(48/204, 613/713, 439/354) = 12917136

LCM of 48/204, 613/713, 439/354

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 48/204,613/713,439/354

Given numbers are 48/204,613/713,439/354

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 48,613,439

Least Common Multiple of Numerators i.e. LCM of 48,613,439 is 12917136.

GCF of Denominators means GCF of 204,713,354 as per the given fractions.

GCF of 204,713,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,613,439

LCM of Fractions 48/204,613/713,439/354 is 12917136

Given numbers has no common factors except 1. So, there LCM is their product i.e 12917136

Least Common Multiple of 48,613,439 with GCF Formula

Least Common Multiple of 48,613,439 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 48,613,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,613,439) = 1

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

GCF(48,613,439) x common factors =1 x 1 = 1

LCM(48,613,439) = ( 48 × 613 × 439 ) / 1

LCM(48,613,439) = 12917136 / 1

LCM(48,613,439) = 12917136


Lets's calculate GCF of 204,713,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12917136/1

Therefore the LCM of Fractions 48/204,613/713,439/354 is 12917136

Greatest Common Factor of 204,713,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,713,354 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 204,713,354 . The biggest common factor number is the GCF number.
So the greatest common factor 204,713,354 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 48/204, 613/713, 439/354

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 48/204, 613/713, 439/354?

Answer: LCM of Numerators as per given numbers 48/204, 613/713, 439/354 is

LCM of Numerators i.e. for 48,613,439 is 12917136

GCF of denominators i.e. for 204,713,354 is 1.

Thus, LCM of Fractions is 12917136.Finally, LCM of Fractions for 48/204, 613/713, 439/354 is 12917136.