Least Common Multiple of 78/273, 6877/6113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/273, 6877/6113 quickly i.e. 41262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/273, 6877/6113 is 41262.

LCM(78/273, 6877/6113) = 41262

LCM of 78/273, 6877/6113

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 78/273,6877/6113

Given numbers are 78/273,6877/6113

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 78,6877

Least Common Multiple of Numerators i.e. LCM of 78,6877 is 41262.

GCF of Denominators means GCF of 273,6113 as per the given fractions.

GCF of 273,6113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,6877

LCM of Fractions 78/273,6877/6113 is 41262

13 78, 6877
6, 529

∴ So the LCM of the given numbers is 13 x 6 x 529 = 41262

Least Common Multiple of 78,6877 with GCF Formula

Least Common Multiple of 78,6877 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 78,6877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,6877) = 13

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

GCF(78,6877) x common factors =13 x 1 = 13

LCM(78,6877) = ( 78 × 6877 ) / 13

LCM(78,6877) = 536406 / 13

LCM(78,6877) = 41262


Lets's calculate GCF of 273,6113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41262/1

Therefore the LCM of Fractions 78/273,6877/6113 is 41262

Greatest Common Factor of 273,6113 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,6113 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1,6113

Greatest Common Factor

We found the factors 273,6113 . The biggest common factor number is the GCF number.
So the greatest common factor 273,6113 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 78/273, 6877/6113

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 78/273, 6877/6113?

Answer: LCM of Numerators as per given numbers 78/273, 6877/6113 is

LCM of Numerators i.e. for 78,6877 is 41262

GCF of denominators i.e. for 273,6113 is 1.

Thus, LCM of Fractions is 41262.Finally, LCM of Fractions for 78/273, 6877/6113 is 41262.