Least Common Multiple of 83/624, 5859/6721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/624, 5859/6721 quickly i.e. 486297/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/624, 5859/6721 is 486297/13.

LCM(83/624, 5859/6721) = 486297/13

LCM of 83/624, 5859/6721

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 83/624,5859/6721

Given numbers are 83/624,5859/6721

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 83,5859

Least Common Multiple of Numerators i.e. LCM of 83,5859 is 486297.

GCF of Denominators means GCF of 624,6721 as per the given fractions.

GCF of 624,6721 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,5859

LCM of Fractions 83/624,5859/6721 is 486297/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 486297

Least Common Multiple of 83,5859 with GCF Formula

Least Common Multiple of 83,5859 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 83,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,5859) = 1

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

GCF(83,5859) x common factors =1 x 1 = 1

LCM(83,5859) = ( 83 × 5859 ) / 1

LCM(83,5859) = 486297 / 1

LCM(83,5859) = 486297


Lets's calculate GCF of 624,6721

13 624, 6721
48, 517

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486297/13

Therefore the LCM of Fractions 83/624,5859/6721 is 486297/13

Greatest Common Factor of 624,6721 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,6721 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 6721

List of positive integer factors of 6721 that divides 6721 without a remainder.

1,11,13,47,143,517,611,6721

Greatest Common Factor

We found the factors 624,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 624,6721 is 13.


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 83/624, 5859/6721

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 83/624, 5859/6721?

Answer: LCM of Numerators as per given numbers 83/624, 5859/6721 is

LCM of Numerators i.e. for 83,5859 is 486297

GCF of denominators i.e. for 624,6721 is 13.

Thus, LCM of Fractions is 486297/13.Finally, LCM of Fractions for 83/624, 5859/6721 is 486297/13.