Least Common Multiple of 2325/540, 1916/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2325/540, 1916/3627 quickly i.e. 4454700/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2325/540, 1916/3627 is 4454700/9.

LCM(2325/540, 1916/3627) = 4454700/9

LCM of 2325/540, 1916/3627

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 2325/540,1916/3627

Given numbers are 2325/540,1916/3627

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 2325,1916

Least Common Multiple of Numerators i.e. LCM of 2325,1916 is 4454700.

GCF of Denominators means GCF of 540,3627 as per the given fractions.

GCF of 540,3627 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2325,1916

LCM of Fractions 2325/540,1916/3627 is 4454700/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 4454700

Least Common Multiple of 2325,1916 with GCF Formula

Least Common Multiple of 2325,1916 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 2325,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2325,1916) = 1

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

GCF(2325,1916) x common factors =1 x 1 = 1

LCM(2325,1916) = ( 2325 × 1916 ) / 1

LCM(2325,1916) = 4454700 / 1

LCM(2325,1916) = 4454700


Lets's calculate GCF of 540,3627

3 540, 3627
3 180, 1209
60, 403

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4454700/9

Therefore the LCM of Fractions 2325/540,1916/3627 is 4454700/9

Greatest Common Factor of 540,3627 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,3627 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

Greatest Common Factor

We found the factors 540,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 540,3627 is 9.


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 2325/540, 1916/3627

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 2325/540, 1916/3627?

Answer: LCM of Numerators as per given numbers 2325/540, 1916/3627 is

LCM of Numerators i.e. for 2325,1916 is 4454700

GCF of denominators i.e. for 540,3627 is 9.

Thus, LCM of Fractions is 4454700/9.Finally, LCM of Fractions for 2325/540, 1916/3627 is 4454700/9.