Least Common Multiple of 9372/27, 7134/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9372/27, 7134/390 quickly i.e. 3714436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9372/27, 7134/390 is 3714436.

LCM(9372/27, 7134/390) = 3714436

LCM of 9372/27, 7134/390

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 9372/27,7134/390

Given numbers are 9372/27,7134/390

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 9372,7134

Least Common Multiple of Numerators i.e. LCM of 9372,7134 is 11143308.

GCF of Denominators means GCF of 27,390 as per the given fractions.

GCF of 27,390 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9372,7134

LCM of Fractions 9372/27,7134/390 is 3714436

2 9372, 7134
3 4686, 3567
1562, 1189

∴ So the LCM of the given numbers is 2 x 3 x 1562 x 1189 = 11143308

Least Common Multiple of 9372,7134 with GCF Formula

Least Common Multiple of 9372,7134 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 9372,7134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9372,7134) = 6

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

GCF(9372,7134) x common factors =6 x 1 = 6

LCM(9372,7134) = ( 9372 × 7134 ) / 6

LCM(9372,7134) = 66859848 / 6

LCM(9372,7134) = 11143308


Lets's calculate GCF of 27,390

3 27, 390
9, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11143308/3

Therefore the LCM of Fractions 9372/27,7134/390 is 3714436

Greatest Common Factor of 27,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,390 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 27,390 . The biggest common factor number is the GCF number.
So the greatest common factor 27,390 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 9372/27, 7134/390

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 9372/27, 7134/390?

Answer: LCM of Numerators as per given numbers 9372/27, 7134/390 is

LCM of Numerators i.e. for 9372,7134 is 11143308

GCF of denominators i.e. for 27,390 is 3.

Thus, LCM of Fractions is 3714436.Finally, LCM of Fractions for 9372/27, 7134/390 is 3714436.