Least Common Multiple of 2742/278, 2011/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2742/278, 2011/679 quickly i.e. 5514162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2742/278, 2011/679 is 5514162.

LCM(2742/278, 2011/679) = 5514162

LCM of 2742/278, 2011/679

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 2742/278,2011/679

Given numbers are 2742/278,2011/679

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 2742,2011

Least Common Multiple of Numerators i.e. LCM of 2742,2011 is 5514162.

GCF of Denominators means GCF of 278,679 as per the given fractions.

GCF of 278,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2742,2011

LCM of Fractions 2742/278,2011/679 is 5514162

Given numbers has no common factors except 1. So, there LCM is their product i.e 5514162

Least Common Multiple of 2742,2011 with GCF Formula

Least Common Multiple of 2742,2011 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 2742,2011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2742,2011) = 1

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

GCF(2742,2011) x common factors =1 x 1 = 1

LCM(2742,2011) = ( 2742 × 2011 ) / 1

LCM(2742,2011) = 5514162 / 1

LCM(2742,2011) = 5514162


Lets's calculate GCF of 278,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5514162/1

Therefore the LCM of Fractions 2742/278,2011/679 is 5514162

Greatest Common Factor of 278,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,679 By Matching Biggest Common Factor Method

Factors of 278

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

1,2,139,278

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 278,679 . The biggest common factor number is the GCF number.
So the greatest common factor 278,679 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 2742/278, 2011/679

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 2742/278, 2011/679?

Answer: LCM of Numerators as per given numbers 2742/278, 2011/679 is

LCM of Numerators i.e. for 2742,2011 is 5514162

GCF of denominators i.e. for 278,679 is 1.

Thus, LCM of Fractions is 5514162.Finally, LCM of Fractions for 2742/278, 2011/679 is 5514162.