Least Common Multiple of 339/658, 1572/5054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/658, 1572/5054 quickly i.e. 177636/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/658, 1572/5054 is 177636/14.

LCM(339/658, 1572/5054) = 177636/14

LCM of 339/658, 1572/5054

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 339/658,1572/5054

Given numbers are 339/658,1572/5054

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 339,1572

Least Common Multiple of Numerators i.e. LCM of 339,1572 is 177636.

GCF of Denominators means GCF of 658,5054 as per the given fractions.

GCF of 658,5054 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,1572

LCM of Fractions 339/658,1572/5054 is 177636/14

3 339, 1572
113, 524

∴ So the LCM of the given numbers is 3 x 113 x 524 = 177636

Least Common Multiple of 339,1572 with GCF Formula

Least Common Multiple of 339,1572 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 339,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,1572) = 3

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

GCF(339,1572) x common factors =3 x 1 = 3

LCM(339,1572) = ( 339 × 1572 ) / 3

LCM(339,1572) = 532908 / 3

LCM(339,1572) = 177636


Lets's calculate GCF of 658,5054

2 658, 5054
7 329, 2527
47, 361

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177636/14

Therefore the LCM of Fractions 339/658,1572/5054 is 177636/14

Greatest Common Factor of 658,5054 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,5054 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1,2,7,14,19,38,133,266,361,722,2527,5054

Greatest Common Factor

We found the factors 658,5054 . The biggest common factor number is the GCF number.
So the greatest common factor 658,5054 is 14.


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 339/658, 1572/5054

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 339/658, 1572/5054?

Answer: LCM of Numerators as per given numbers 339/658, 1572/5054 is

LCM of Numerators i.e. for 339,1572 is 177636

GCF of denominators i.e. for 658,5054 is 14.

Thus, LCM of Fractions is 177636/14.Finally, LCM of Fractions for 339/658, 1572/5054 is 177636/14.