Least Common Multiple of 141/278, 2738/5977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/278, 2738/5977 quickly i.e. 386058/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/278, 2738/5977 is 386058/139.

LCM(141/278, 2738/5977) = 386058/139

LCM of 141/278, 2738/5977

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 141/278,2738/5977

Given numbers are 141/278,2738/5977

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 141,2738

Least Common Multiple of Numerators i.e. LCM of 141,2738 is 386058.

GCF of Denominators means GCF of 278,5977 as per the given fractions.

GCF of 278,5977 is 139 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,2738

LCM of Fractions 141/278,2738/5977 is 386058/139

Given numbers has no common factors except 1. So, there LCM is their product i.e 386058

Least Common Multiple of 141,2738 with GCF Formula

Least Common Multiple of 141,2738 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 141,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,2738) = 1

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

GCF(141,2738) x common factors =1 x 1 = 1

LCM(141,2738) = ( 141 × 2738 ) / 1

LCM(141,2738) = 386058 / 1

LCM(141,2738) = 386058


Lets's calculate GCF of 278,5977

139 278, 5977
2, 43

∴ So the GCF of the given numbers is 139 = 139

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386058/139

Therefore the LCM of Fractions 141/278,2738/5977 is 386058/139

Greatest Common Factor of 278,5977 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,5977 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 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1,43,139,5977

Greatest Common Factor

We found the factors 278,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 278,5977 is 139.


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 141/278, 2738/5977

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 141/278, 2738/5977?

Answer: LCM of Numerators as per given numbers 141/278, 2738/5977 is

LCM of Numerators i.e. for 141,2738 is 386058

GCF of denominators i.e. for 278,5977 is 139.

Thus, LCM of Fractions is 386058/139.Finally, LCM of Fractions for 141/278, 2738/5977 is 386058/139.