Least Common Multiple of 4425/138, 6965/1809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4425/138, 6965/1809 quickly i.e. 2054675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4425/138, 6965/1809 is 2054675.

LCM(4425/138, 6965/1809) = 2054675

LCM of 4425/138, 6965/1809

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 4425/138,6965/1809

Given numbers are 4425/138,6965/1809

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 4425,6965

Least Common Multiple of Numerators i.e. LCM of 4425,6965 is 6164025.

GCF of Denominators means GCF of 138,1809 as per the given fractions.

GCF of 138,1809 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4425,6965

LCM of Fractions 4425/138,6965/1809 is 2054675

5 4425, 6965
885, 1393

∴ So the LCM of the given numbers is 5 x 885 x 1393 = 6164025

Least Common Multiple of 4425,6965 with GCF Formula

Least Common Multiple of 4425,6965 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 4425,6965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4425,6965) = 5

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

GCF(4425,6965) x common factors =5 x 1 = 5

LCM(4425,6965) = ( 4425 × 6965 ) / 5

LCM(4425,6965) = 30820125 / 5

LCM(4425,6965) = 6164025


Lets's calculate GCF of 138,1809

3 138, 1809
46, 603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6164025/3

Therefore the LCM of Fractions 4425/138,6965/1809 is 2054675

Greatest Common Factor of 138,1809 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,1809 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1,3,9,27,67,201,603,1809

Greatest Common Factor

We found the factors 138,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 138,1809 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 4425/138, 6965/1809

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 4425/138, 6965/1809?

Answer: LCM of Numerators as per given numbers 4425/138, 6965/1809 is

LCM of Numerators i.e. for 4425,6965 is 6164025

GCF of denominators i.e. for 138,1809 is 3.

Thus, LCM of Fractions is 2054675.Finally, LCM of Fractions for 4425/138, 6965/1809 is 2054675.