Least Common Multiple of 4618/338, 7929/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4618/338, 7929/278 quickly i.e. 18308061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4618/338, 7929/278 is 18308061.

LCM(4618/338, 7929/278) = 18308061

LCM of 4618/338, 7929/278

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 4618/338,7929/278

Given numbers are 4618/338,7929/278

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 4618,7929

Least Common Multiple of Numerators i.e. LCM of 4618,7929 is 36616122.

GCF of Denominators means GCF of 338,278 as per the given fractions.

GCF of 338,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4618,7929

LCM of Fractions 4618/338,7929/278 is 18308061

Given numbers has no common factors except 1. So, there LCM is their product i.e 36616122

Least Common Multiple of 4618,7929 with GCF Formula

Least Common Multiple of 4618,7929 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 4618,7929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4618,7929) = 1

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

GCF(4618,7929) x common factors =1 x 1 = 1

LCM(4618,7929) = ( 4618 × 7929 ) / 1

LCM(4618,7929) = 36616122 / 1

LCM(4618,7929) = 36616122


Lets's calculate GCF of 338,278

2 338, 278
169, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36616122/2

Therefore the LCM of Fractions 4618/338,7929/278 is 18308061

Greatest Common Factor of 338,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,278 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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 338,278 . The biggest common factor number is the GCF number.
So the greatest common factor 338,278 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 4618/338, 7929/278

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 4618/338, 7929/278?

Answer: LCM of Numerators as per given numbers 4618/338, 7929/278 is

LCM of Numerators i.e. for 4618,7929 is 36616122

GCF of denominators i.e. for 338,278 is 2.

Thus, LCM of Fractions is 18308061.Finally, LCM of Fractions for 4618/338, 7929/278 is 18308061.