Least Common Multiple of 8306/147, 1394/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8306/147, 1394/626 quickly i.e. 5789282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8306/147, 1394/626 is 5789282.

LCM(8306/147, 1394/626) = 5789282

LCM of 8306/147, 1394/626

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 8306/147,1394/626

Given numbers are 8306/147,1394/626

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 8306,1394

Least Common Multiple of Numerators i.e. LCM of 8306,1394 is 5789282.

GCF of Denominators means GCF of 147,626 as per the given fractions.

GCF of 147,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8306,1394

LCM of Fractions 8306/147,1394/626 is 5789282

2 8306, 1394
4153, 697

∴ So the LCM of the given numbers is 2 x 4153 x 697 = 5789282

Least Common Multiple of 8306,1394 with GCF Formula

Least Common Multiple of 8306,1394 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 8306,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8306,1394) = 2

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

GCF(8306,1394) x common factors =2 x 1 = 2

LCM(8306,1394) = ( 8306 × 1394 ) / 2

LCM(8306,1394) = 11578564 / 2

LCM(8306,1394) = 5789282


Lets's calculate GCF of 147,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5789282/1

Therefore the LCM of Fractions 8306/147,1394/626 is 5789282

Greatest Common Factor of 147,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,626 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 147,626 . The biggest common factor number is the GCF number.
So the greatest common factor 147,626 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 8306/147, 1394/626

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 8306/147, 1394/626?

Answer: LCM of Numerators as per given numbers 8306/147, 1394/626 is

LCM of Numerators i.e. for 8306,1394 is 5789282

GCF of denominators i.e. for 147,626 is 1.

Thus, LCM of Fractions is 5789282.Finally, LCM of Fractions for 8306/147, 1394/626 is 5789282.