Least Common Multiple of 85/747, 2729/5973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/747, 2729/5973 quickly i.e. 231965/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/747, 2729/5973 is 231965/3.

LCM(85/747, 2729/5973) = 231965/3

LCM of 85/747, 2729/5973

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 85/747,2729/5973

Given numbers are 85/747,2729/5973

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 85,2729

Least Common Multiple of Numerators i.e. LCM of 85,2729 is 231965.

GCF of Denominators means GCF of 747,5973 as per the given fractions.

GCF of 747,5973 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,2729

LCM of Fractions 85/747,2729/5973 is 231965/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 231965

Least Common Multiple of 85,2729 with GCF Formula

Least Common Multiple of 85,2729 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 85,2729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,2729) = 1

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

GCF(85,2729) x common factors =1 x 1 = 1

LCM(85,2729) = ( 85 × 2729 ) / 1

LCM(85,2729) = 231965 / 1

LCM(85,2729) = 231965


Lets's calculate GCF of 747,5973

3 747, 5973
249, 1991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231965/3

Therefore the LCM of Fractions 85/747,2729/5973 is 231965/3

Greatest Common Factor of 747,5973 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,5973 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1,3,11,33,181,543,1991,5973

Greatest Common Factor

We found the factors 747,5973 . The biggest common factor number is the GCF number.
So the greatest common factor 747,5973 is 3.


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 85/747, 2729/5973

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 85/747, 2729/5973?

Answer: LCM of Numerators as per given numbers 85/747, 2729/5973 is

LCM of Numerators i.e. for 85,2729 is 231965

GCF of denominators i.e. for 747,5973 is 3.

Thus, LCM of Fractions is 231965/3.Finally, LCM of Fractions for 85/747, 2729/5973 is 231965/3.