Least Common Multiple of 7689/52, 5935/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7689/52, 5935/585 quickly i.e. 45634215/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7689/52, 5935/585 is 45634215/13.

LCM(7689/52, 5935/585) = 45634215/13

LCM of 7689/52, 5935/585

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 7689/52,5935/585

Given numbers are 7689/52,5935/585

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 7689,5935

Least Common Multiple of Numerators i.e. LCM of 7689,5935 is 45634215.

GCF of Denominators means GCF of 52,585 as per the given fractions.

GCF of 52,585 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7689,5935

LCM of Fractions 7689/52,5935/585 is 45634215/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 45634215

Least Common Multiple of 7689,5935 with GCF Formula

Least Common Multiple of 7689,5935 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 7689,5935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7689,5935) = 1

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

GCF(7689,5935) x common factors =1 x 1 = 1

LCM(7689,5935) = ( 7689 × 5935 ) / 1

LCM(7689,5935) = 45634215 / 1

LCM(7689,5935) = 45634215


Lets's calculate GCF of 52,585

13 52, 585
4, 45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45634215/13

Therefore the LCM of Fractions 7689/52,5935/585 is 45634215/13

Greatest Common Factor of 52,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,585 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 52,585 . The biggest common factor number is the GCF number.
So the greatest common factor 52,585 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 7689/52, 5935/585

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 7689/52, 5935/585?

Answer: LCM of Numerators as per given numbers 7689/52, 5935/585 is

LCM of Numerators i.e. for 7689,5935 is 45634215

GCF of denominators i.e. for 52,585 is 13.

Thus, LCM of Fractions is 45634215/13.Finally, LCM of Fractions for 7689/52, 5935/585 is 45634215/13.