Least Common Multiple of 9366/945, 3627/7960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9366/945, 3627/7960 quickly i.e. 11323494/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9366/945, 3627/7960 is 11323494/5.

LCM(9366/945, 3627/7960) = 11323494/5

LCM of 9366/945, 3627/7960

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 9366/945,3627/7960

Given numbers are 9366/945,3627/7960

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 9366,3627

Least Common Multiple of Numerators i.e. LCM of 9366,3627 is 11323494.

GCF of Denominators means GCF of 945,7960 as per the given fractions.

GCF of 945,7960 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9366,3627

LCM of Fractions 9366/945,3627/7960 is 11323494/5

3 9366, 3627
3122, 1209

∴ So the LCM of the given numbers is 3 x 3122 x 1209 = 11323494

Least Common Multiple of 9366,3627 with GCF Formula

Least Common Multiple of 9366,3627 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 9366,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9366,3627) = 3

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

GCF(9366,3627) x common factors =3 x 1 = 3

LCM(9366,3627) = ( 9366 × 3627 ) / 3

LCM(9366,3627) = 33970482 / 3

LCM(9366,3627) = 11323494


Lets's calculate GCF of 945,7960

5 945, 7960
189, 1592

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11323494/5

Therefore the LCM of Fractions 9366/945,3627/7960 is 11323494/5

Greatest Common Factor of 945,7960 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,7960 By Matching Biggest Common Factor Method

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

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960

Greatest Common Factor

We found the factors 945,7960 . The biggest common factor number is the GCF number.
So the greatest common factor 945,7960 is 5.


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 9366/945, 3627/7960

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 9366/945, 3627/7960?

Answer: LCM of Numerators as per given numbers 9366/945, 3627/7960 is

LCM of Numerators i.e. for 9366,3627 is 11323494

GCF of denominators i.e. for 945,7960 is 5.

Thus, LCM of Fractions is 11323494/5.Finally, LCM of Fractions for 9366/945, 3627/7960 is 11323494/5.