Least Common Multiple of 540/818, 1634/1915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/818, 1634/1915 quickly i.e. 441180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/818, 1634/1915 is 441180.

LCM(540/818, 1634/1915) = 441180

LCM of 540/818, 1634/1915

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 540/818,1634/1915

Given numbers are 540/818,1634/1915

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 540,1634

Least Common Multiple of Numerators i.e. LCM of 540,1634 is 441180.

GCF of Denominators means GCF of 818,1915 as per the given fractions.

GCF of 818,1915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,1634

LCM of Fractions 540/818,1634/1915 is 441180

2 540, 1634
270, 817

∴ So the LCM of the given numbers is 2 x 270 x 817 = 441180

Least Common Multiple of 540,1634 with GCF Formula

Least Common Multiple of 540,1634 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 540,1634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,1634) = 2

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

GCF(540,1634) x common factors =2 x 1 = 2

LCM(540,1634) = ( 540 × 1634 ) / 2

LCM(540,1634) = 882360 / 2

LCM(540,1634) = 441180


Lets's calculate GCF of 818,1915

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441180/1

Therefore the LCM of Fractions 540/818,1634/1915 is 441180

Greatest Common Factor of 818,1915 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,1915 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 1915

List of positive integer factors of 1915 that divides 1915 without a remainder.

1,5,383,1915

Greatest Common Factor

We found the factors 818,1915 . The biggest common factor number is the GCF number.
So the greatest common factor 818,1915 is 1.


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 540/818, 1634/1915

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 540/818, 1634/1915?

Answer: LCM of Numerators as per given numbers 540/818, 1634/1915 is

LCM of Numerators i.e. for 540,1634 is 441180

GCF of denominators i.e. for 818,1915 is 1.

Thus, LCM of Fractions is 441180.Finally, LCM of Fractions for 540/818, 1634/1915 is 441180.