Least Common Multiple of 8337/60, 7023/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8337/60, 7023/501 quickly i.e. 6505639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8337/60, 7023/501 is 6505639.

LCM(8337/60, 7023/501) = 6505639

LCM of 8337/60, 7023/501

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 8337/60,7023/501

Given numbers are 8337/60,7023/501

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 8337,7023

Least Common Multiple of Numerators i.e. LCM of 8337,7023 is 19516917.

GCF of Denominators means GCF of 60,501 as per the given fractions.

GCF of 60,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8337,7023

LCM of Fractions 8337/60,7023/501 is 6505639

3 8337, 7023
2779, 2341

∴ So the LCM of the given numbers is 3 x 2779 x 2341 = 19516917

Least Common Multiple of 8337,7023 with GCF Formula

Least Common Multiple of 8337,7023 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 8337,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8337,7023) = 3

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

GCF(8337,7023) x common factors =3 x 1 = 3

LCM(8337,7023) = ( 8337 × 7023 ) / 3

LCM(8337,7023) = 58550751 / 3

LCM(8337,7023) = 19516917


Lets's calculate GCF of 60,501

3 60, 501
20, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19516917/3

Therefore the LCM of Fractions 8337/60,7023/501 is 6505639

Greatest Common Factor of 60,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,501 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 60,501 . The biggest common factor number is the GCF number.
So the greatest common factor 60,501 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8337/60, 7023/501

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 8337/60, 7023/501?

Answer: LCM of Numerators as per given numbers 8337/60, 7023/501 is

LCM of Numerators i.e. for 8337,7023 is 19516917

GCF of denominators i.e. for 60,501 is 3.

Thus, LCM of Fractions is 6505639.Finally, LCM of Fractions for 8337/60, 7023/501 is 6505639.