Least Common Multiple of 7160/665, 2740/5001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7160/665, 2740/5001 quickly i.e. 980920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7160/665, 2740/5001 is 980920.

LCM(7160/665, 2740/5001) = 980920

LCM of 7160/665, 2740/5001

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 7160/665,2740/5001

Given numbers are 7160/665,2740/5001

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 7160,2740

Least Common Multiple of Numerators i.e. LCM of 7160,2740 is 980920.

GCF of Denominators means GCF of 665,5001 as per the given fractions.

GCF of 665,5001 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7160,2740

LCM of Fractions 7160/665,2740/5001 is 980920

2 7160, 2740
2 3580, 1370
5 1790, 685
358, 137

∴ So the LCM of the given numbers is 2 x 2 x 5 x 358 x 137 = 980920

Least Common Multiple of 7160,2740 with GCF Formula

Least Common Multiple of 7160,2740 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 7160,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7160,2740) = 20

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

GCF(7160,2740) x common factors =20 x 1 = 20

LCM(7160,2740) = ( 7160 × 2740 ) / 20

LCM(7160,2740) = 19618400 / 20

LCM(7160,2740) = 980920


Lets's calculate GCF of 665,5001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 980920/1

Therefore the LCM of Fractions 7160/665,2740/5001 is 980920

Greatest Common Factor of 665,5001 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,5001 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1,3,1667,5001

Greatest Common Factor

We found the factors 665,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 665,5001 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 7160/665, 2740/5001

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 7160/665, 2740/5001?

Answer: LCM of Numerators as per given numbers 7160/665, 2740/5001 is

LCM of Numerators i.e. for 7160,2740 is 980920

GCF of denominators i.e. for 665,5001 is 1.

Thus, LCM of Fractions is 980920.Finally, LCM of Fractions for 7160/665, 2740/5001 is 980920.