Least Common Multiple of 46/540, 99/289, 917/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/540, 99/289, 917/652 quickly i.e. 4176018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/540, 99/289, 917/652 is 4176018.

LCM(46/540, 99/289, 917/652) = 4176018

LCM of 46/540, 99/289, 917/652

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 46/540,99/289,917/652

Given numbers are 46/540,99/289,917/652

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 46,99,917

Least Common Multiple of Numerators i.e. LCM of 46,99,917 is 4176018.

GCF of Denominators means GCF of 540,289,652 as per the given fractions.

GCF of 540,289,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,99,917

LCM of Fractions 46/540,99/289,917/652 is 4176018

Given numbers has no common factors except 1. So, there LCM is their product i.e 4176018

Least Common Multiple of 46,99,917 with GCF Formula

Least Common Multiple of 46,99,917 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 46,99,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,99,917) = 1

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

GCF(46,99,917) x common factors =1 x 1 = 1

LCM(46,99,917) = ( 46 × 99 × 917 ) / 1

LCM(46,99,917) = 4176018 / 1

LCM(46,99,917) = 4176018


Lets's calculate GCF of 540,289,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4176018/1

Therefore the LCM of Fractions 46/540,99/289,917/652 is 4176018

Greatest Common Factor of 540,289,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,289,652 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 540,289,652 . The biggest common factor number is the GCF number.
So the greatest common factor 540,289,652 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 46/540, 99/289, 917/652

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 46/540, 99/289, 917/652?

Answer: LCM of Numerators as per given numbers 46/540, 99/289, 917/652 is

LCM of Numerators i.e. for 46,99,917 is 4176018

GCF of denominators i.e. for 540,289,652 is 1.

Thus, LCM of Fractions is 4176018.Finally, LCM of Fractions for 46/540, 99/289, 917/652 is 4176018.