Least Common Multiple of 56/680, 2293/7146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/680, 2293/7146 quickly i.e. 64204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/680, 2293/7146 is 64204.

LCM(56/680, 2293/7146) = 64204

LCM of 56/680, 2293/7146

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 56/680,2293/7146

Given numbers are 56/680,2293/7146

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 56,2293

Least Common Multiple of Numerators i.e. LCM of 56,2293 is 128408.

GCF of Denominators means GCF of 680,7146 as per the given fractions.

GCF of 680,7146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,2293

LCM of Fractions 56/680,2293/7146 is 64204

Given numbers has no common factors except 1. So, there LCM is their product i.e 128408

Least Common Multiple of 56,2293 with GCF Formula

Least Common Multiple of 56,2293 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 56,2293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,2293) = 1

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

GCF(56,2293) x common factors =1 x 1 = 1

LCM(56,2293) = ( 56 × 2293 ) / 1

LCM(56,2293) = 128408 / 1

LCM(56,2293) = 128408


Lets's calculate GCF of 680,7146

2 680, 7146
340, 3573

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128408/2

Therefore the LCM of Fractions 56/680,2293/7146 is 64204

Greatest Common Factor of 680,7146 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,7146 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors 680,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 680,7146 is 2.


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 56/680, 2293/7146

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 56/680, 2293/7146?

Answer: LCM of Numerators as per given numbers 56/680, 2293/7146 is

LCM of Numerators i.e. for 56,2293 is 128408

GCF of denominators i.e. for 680,7146 is 2.

Thus, LCM of Fractions is 64204.Finally, LCM of Fractions for 56/680, 2293/7146 is 64204.