Least Common Multiple of 46/684, 688/327, 265/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/684, 688/327, 265/180 quickly i.e. 4193360/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/684, 688/327, 265/180 is 4193360/3.

LCM(46/684, 688/327, 265/180) = 4193360/3

LCM of 46/684, 688/327, 265/180

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 46/684,688/327,265/180

Given numbers are 46/684,688/327,265/180

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 46,688,265

Least Common Multiple of Numerators i.e. LCM of 46,688,265 is 4193360.

GCF of Denominators means GCF of 684,327,180 as per the given fractions.

GCF of 684,327,180 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,688,265

LCM of Fractions 46/684,688/327,265/180 is 4193360/3

2 46, 688, 265
23, 344, 265

∴ So the LCM of the given numbers is 2 x 23 x 344 x 265 = 4193360

Least Common Multiple of 46,688,265 with GCF Formula

Least Common Multiple of 46,688,265 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 46,688,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,688,265) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,688,265) x common factors =1 x 2 = 2

LCM(46,688,265) = ( 46 × 688 × 265 ) / 2

LCM(46,688,265) = 8386720 / 2

LCM(46,688,265) = 4193360


Lets's calculate GCF of 684,327,180

3 684, 327, 180
228, 109, 60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4193360/3

Therefore the LCM of Fractions 46/684,688/327,265/180 is 4193360/3

Greatest Common Factor of 684,327,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,327,180 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 684,327,180 . The biggest common factor number is the GCF number.
So the greatest common factor 684,327,180 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 46/684, 688/327, 265/180

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 46/684, 688/327, 265/180?

Answer: LCM of Numerators as per given numbers 46/684, 688/327, 265/180 is

LCM of Numerators i.e. for 46,688,265 is 4193360

GCF of denominators i.e. for 684,327,180 is 3.

Thus, LCM of Fractions is 4193360/3.Finally, LCM of Fractions for 46/684, 688/327, 265/180 is 4193360/3.