Least Common Multiple of 871/180, 9306/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 871/180, 9306/853 quickly i.e. 8105526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/180, 9306/853 is 8105526.

LCM(871/180, 9306/853) = 8105526

LCM of 871/180, 9306/853

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 871/180,9306/853

Given numbers are 871/180,9306/853

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 871,9306

Least Common Multiple of Numerators i.e. LCM of 871,9306 is 8105526.

GCF of Denominators means GCF of 180,853 as per the given fractions.

GCF of 180,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,9306

LCM of Fractions 871/180,9306/853 is 8105526

Given numbers has no common factors except 1. So, there LCM is their product i.e 8105526

Least Common Multiple of 871,9306 with GCF Formula

Least Common Multiple of 871,9306 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 871,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,9306) = 1

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

GCF(871,9306) x common factors =1 x 1 = 1

LCM(871,9306) = ( 871 × 9306 ) / 1

LCM(871,9306) = 8105526 / 1

LCM(871,9306) = 8105526


Lets's calculate GCF of 180,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8105526/1

Therefore the LCM of Fractions 871/180,9306/853 is 8105526

Greatest Common Factor of 180,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,853 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 180,853 . The biggest common factor number is the GCF number.
So the greatest common factor 180,853 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 871/180, 9306/853

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 871/180, 9306/853?

Answer: LCM of Numerators as per given numbers 871/180, 9306/853 is

LCM of Numerators i.e. for 871,9306 is 8105526

GCF of denominators i.e. for 180,853 is 1.

Thus, LCM of Fractions is 8105526.Finally, LCM of Fractions for 871/180, 9306/853 is 8105526.