Least Common Multiple of 7138/603, 6183/8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7138/603, 6183/8625 quickly i.e. 14711418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7138/603, 6183/8625 is 14711418.

LCM(7138/603, 6183/8625) = 14711418

LCM of 7138/603, 6183/8625

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 7138/603,6183/8625

Given numbers are 7138/603,6183/8625

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 7138,6183

Least Common Multiple of Numerators i.e. LCM of 7138,6183 is 44134254.

GCF of Denominators means GCF of 603,8625 as per the given fractions.

GCF of 603,8625 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7138,6183

LCM of Fractions 7138/603,6183/8625 is 14711418

Given numbers has no common factors except 1. So, there LCM is their product i.e 44134254

Least Common Multiple of 7138,6183 with GCF Formula

Least Common Multiple of 7138,6183 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 7138,6183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7138,6183) = 1

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

GCF(7138,6183) x common factors =1 x 1 = 1

LCM(7138,6183) = ( 7138 × 6183 ) / 1

LCM(7138,6183) = 44134254 / 1

LCM(7138,6183) = 44134254


Lets's calculate GCF of 603,8625

3 603, 8625
201, 2875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44134254/3

Therefore the LCM of Fractions 7138/603,6183/8625 is 14711418

Greatest Common Factor of 603,8625 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,8625 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Greatest Common Factor

We found the factors 603,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 603,8625 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 7138/603, 6183/8625

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 7138/603, 6183/8625?

Answer: LCM of Numerators as per given numbers 7138/603, 6183/8625 is

LCM of Numerators i.e. for 7138,6183 is 44134254

GCF of denominators i.e. for 603,8625 is 3.

Thus, LCM of Fractions is 14711418.Finally, LCM of Fractions for 7138/603, 6183/8625 is 14711418.