Least Common Multiple of 2713/739, 6345/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2713/739, 6345/379 quickly i.e. 17213985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2713/739, 6345/379 is 17213985.

LCM(2713/739, 6345/379) = 17213985

LCM of 2713/739, 6345/379

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 2713/739,6345/379

Given numbers are 2713/739,6345/379

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 2713,6345

Least Common Multiple of Numerators i.e. LCM of 2713,6345 is 17213985.

GCF of Denominators means GCF of 739,379 as per the given fractions.

GCF of 739,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2713,6345

LCM of Fractions 2713/739,6345/379 is 17213985

Given numbers has no common factors except 1. So, there LCM is their product i.e 17213985

Least Common Multiple of 2713,6345 with GCF Formula

Least Common Multiple of 2713,6345 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 2713,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2713,6345) = 1

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

GCF(2713,6345) x common factors =1 x 1 = 1

LCM(2713,6345) = ( 2713 × 6345 ) / 1

LCM(2713,6345) = 17213985 / 1

LCM(2713,6345) = 17213985


Lets's calculate GCF of 739,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17213985/1

Therefore the LCM of Fractions 2713/739,6345/379 is 17213985

Greatest Common Factor of 739,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,379 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 739,379 . The biggest common factor number is the GCF number.
So the greatest common factor 739,379 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2713/739, 6345/379

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 2713/739, 6345/379?

Answer: LCM of Numerators as per given numbers 2713/739, 6345/379 is

LCM of Numerators i.e. for 2713,6345 is 17213985

GCF of denominators i.e. for 739,379 is 1.

Thus, LCM of Fractions is 17213985.Finally, LCM of Fractions for 2713/739, 6345/379 is 17213985.