Least Common Multiple of 2679/38, 7424/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2679/38, 7424/578 quickly i.e. 9944448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2679/38, 7424/578 is 9944448.

LCM(2679/38, 7424/578) = 9944448

LCM of 2679/38, 7424/578

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 2679/38,7424/578

Given numbers are 2679/38,7424/578

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 2679,7424

Least Common Multiple of Numerators i.e. LCM of 2679,7424 is 19888896.

GCF of Denominators means GCF of 38,578 as per the given fractions.

GCF of 38,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2679,7424

LCM of Fractions 2679/38,7424/578 is 9944448

Given numbers has no common factors except 1. So, there LCM is their product i.e 19888896

Least Common Multiple of 2679,7424 with GCF Formula

Least Common Multiple of 2679,7424 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 2679,7424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2679,7424) = 1

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

GCF(2679,7424) x common factors =1 x 1 = 1

LCM(2679,7424) = ( 2679 × 7424 ) / 1

LCM(2679,7424) = 19888896 / 1

LCM(2679,7424) = 19888896


Lets's calculate GCF of 38,578

2 38, 578
19, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19888896/2

Therefore the LCM of Fractions 2679/38,7424/578 is 9944448

Greatest Common Factor of 38,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,578 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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 38,578 . The biggest common factor number is the GCF number.
So the greatest common factor 38,578 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 2679/38, 7424/578

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 2679/38, 7424/578?

Answer: LCM of Numerators as per given numbers 2679/38, 7424/578 is

LCM of Numerators i.e. for 2679,7424 is 19888896

GCF of denominators i.e. for 38,578 is 2.

Thus, LCM of Fractions is 9944448.Finally, LCM of Fractions for 2679/38, 7424/578 is 9944448.