Least Common Multiple of 85/180, 294/472, 384/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/180, 294/472, 384/269 quickly i.e. 1599360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/180, 294/472, 384/269 is 1599360.

LCM(85/180, 294/472, 384/269) = 1599360

LCM of 85/180, 294/472, 384/269

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 85/180,294/472,384/269

Given numbers are 85/180,294/472,384/269

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 85,294,384

Least Common Multiple of Numerators i.e. LCM of 85,294,384 is 1599360.

GCF of Denominators means GCF of 180,472,269 as per the given fractions.

GCF of 180,472,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,294,384

LCM of Fractions 85/180,294/472,384/269 is 1599360

2 85, 294, 384
3 85, 147, 192
85, 49, 64

∴ So the LCM of the given numbers is 2 x 3 x 85 x 49 x 64 = 1599360

Least Common Multiple of 85,294,384 with GCF Formula

Least Common Multiple of 85,294,384 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 85,294,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,294,384) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(85,294,384) x common factors =1 x 6 = 6

LCM(85,294,384) = ( 85 × 294 × 384 ) / 6

LCM(85,294,384) = 9596160 / 6

LCM(85,294,384) = 1599360


Lets's calculate GCF of 180,472,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1599360/1

Therefore the LCM of Fractions 85/180,294/472,384/269 is 1599360

Greatest Common Factor of 180,472,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,472,269 By Matching Biggest Common Factor Method

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

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 180,472,269 . The biggest common factor number is the GCF number.
So the greatest common factor 180,472,269 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 85/180, 294/472, 384/269

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 85/180, 294/472, 384/269?

Answer: LCM of Numerators as per given numbers 85/180, 294/472, 384/269 is

LCM of Numerators i.e. for 85,294,384 is 1599360

GCF of denominators i.e. for 180,472,269 is 1.

Thus, LCM of Fractions is 1599360.Finally, LCM of Fractions for 85/180, 294/472, 384/269 is 1599360.