Least Common Multiple of 9306/80, 8723/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9306/80, 8723/302 quickly i.e. 3689829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9306/80, 8723/302 is 3689829.

LCM(9306/80, 8723/302) = 3689829

LCM of 9306/80, 8723/302

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 9306/80,8723/302

Given numbers are 9306/80,8723/302

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 9306,8723

Least Common Multiple of Numerators i.e. LCM of 9306,8723 is 7379658.

GCF of Denominators means GCF of 80,302 as per the given fractions.

GCF of 80,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9306,8723

LCM of Fractions 9306/80,8723/302 is 3689829

11 9306, 8723
846, 793

∴ So the LCM of the given numbers is 11 x 846 x 793 = 7379658

Least Common Multiple of 9306,8723 with GCF Formula

Least Common Multiple of 9306,8723 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 9306,8723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9306,8723) = 11

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

GCF(9306,8723) x common factors =11 x 1 = 11

LCM(9306,8723) = ( 9306 × 8723 ) / 11

LCM(9306,8723) = 81176238 / 11

LCM(9306,8723) = 7379658


Lets's calculate GCF of 80,302

2 80, 302
40, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7379658/2

Therefore the LCM of Fractions 9306/80,8723/302 is 3689829

Greatest Common Factor of 80,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,302 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 80,302 . The biggest common factor number is the GCF number.
So the greatest common factor 80,302 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 9306/80, 8723/302

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 9306/80, 8723/302?

Answer: LCM of Numerators as per given numbers 9306/80, 8723/302 is

LCM of Numerators i.e. for 9306,8723 is 7379658

GCF of denominators i.e. for 80,302 is 2.

Thus, LCM of Fractions is 3689829.Finally, LCM of Fractions for 9306/80, 8723/302 is 3689829.