Least Common Multiple of 8749/39, 5511/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8749/39, 5511/945 quickly i.e. 16071913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8749/39, 5511/945 is 16071913.

LCM(8749/39, 5511/945) = 16071913

LCM of 8749/39, 5511/945

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 8749/39,5511/945

Given numbers are 8749/39,5511/945

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 8749,5511

Least Common Multiple of Numerators i.e. LCM of 8749,5511 is 48215739.

GCF of Denominators means GCF of 39,945 as per the given fractions.

GCF of 39,945 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8749,5511

LCM of Fractions 8749/39,5511/945 is 16071913

Given numbers has no common factors except 1. So, there LCM is their product i.e 48215739

Least Common Multiple of 8749,5511 with GCF Formula

Least Common Multiple of 8749,5511 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 8749,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8749,5511) = 1

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

GCF(8749,5511) x common factors =1 x 1 = 1

LCM(8749,5511) = ( 8749 × 5511 ) / 1

LCM(8749,5511) = 48215739 / 1

LCM(8749,5511) = 48215739


Lets's calculate GCF of 39,945

3 39, 945
13, 315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48215739/3

Therefore the LCM of Fractions 8749/39,5511/945 is 16071913

Greatest Common Factor of 39,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,945 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 39,945 . The biggest common factor number is the GCF number.
So the greatest common factor 39,945 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 8749/39, 5511/945

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 8749/39, 5511/945?

Answer: LCM of Numerators as per given numbers 8749/39, 5511/945 is

LCM of Numerators i.e. for 8749,5511 is 48215739

GCF of denominators i.e. for 39,945 is 3.

Thus, LCM of Fractions is 16071913.Finally, LCM of Fractions for 8749/39, 5511/945 is 16071913.