Least Common Multiple of 9138/108, 8088/7518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9138/108, 8088/7518 quickly i.e. 2053004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9138/108, 8088/7518 is 2053004.

LCM(9138/108, 8088/7518) = 2053004

LCM of 9138/108, 8088/7518

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 9138/108,8088/7518

Given numbers are 9138/108,8088/7518

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 9138,8088

Least Common Multiple of Numerators i.e. LCM of 9138,8088 is 12318024.

GCF of Denominators means GCF of 108,7518 as per the given fractions.

GCF of 108,7518 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9138,8088

LCM of Fractions 9138/108,8088/7518 is 2053004

2 9138, 8088
3 4569, 4044
1523, 1348

∴ So the LCM of the given numbers is 2 x 3 x 1523 x 1348 = 12318024

Least Common Multiple of 9138,8088 with GCF Formula

Least Common Multiple of 9138,8088 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 9138,8088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9138,8088) = 6

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

GCF(9138,8088) x common factors =6 x 1 = 6

LCM(9138,8088) = ( 9138 × 8088 ) / 6

LCM(9138,8088) = 73908144 / 6

LCM(9138,8088) = 12318024


Lets's calculate GCF of 108,7518

2 108, 7518
3 54, 3759
18, 1253

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12318024/6

Therefore the LCM of Fractions 9138/108,8088/7518 is 2053004

Greatest Common Factor of 108,7518 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,7518 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518

Greatest Common Factor

We found the factors 108,7518 . The biggest common factor number is the GCF number.
So the greatest common factor 108,7518 is 6.


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 9138/108, 8088/7518

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 9138/108, 8088/7518?

Answer: LCM of Numerators as per given numbers 9138/108, 8088/7518 is

LCM of Numerators i.e. for 9138,8088 is 12318024

GCF of denominators i.e. for 108,7518 is 6.

Thus, LCM of Fractions is 2053004.Finally, LCM of Fractions for 9138/108, 8088/7518 is 2053004.