Least Common Multiple of 85/48, 82/90, 338/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/48, 82/90, 338/288 quickly i.e. 1177930/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/48, 82/90, 338/288 is 1177930/6.

LCM(85/48, 82/90, 338/288) = 1177930/6

LCM of 85/48, 82/90, 338/288

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 85/48,82/90,338/288

Given numbers are 85/48,82/90,338/288

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 85,82,338

Least Common Multiple of Numerators i.e. LCM of 85,82,338 is 1177930.

GCF of Denominators means GCF of 48,90,288 as per the given fractions.

GCF of 48,90,288 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,82,338

LCM of Fractions 85/48,82/90,338/288 is 1177930/6

2 85, 82, 338
85, 41, 169

∴ So the LCM of the given numbers is 2 x 85 x 41 x 169 = 1177930

Least Common Multiple of 85,82,338 with GCF Formula

Least Common Multiple of 85,82,338 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 85,82,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,82,338) = 1

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

GCF(85,82,338) x common factors =1 x 2 = 2

LCM(85,82,338) = ( 85 × 82 × 338 ) / 2

LCM(85,82,338) = 2355860 / 2

LCM(85,82,338) = 1177930


Lets's calculate GCF of 48,90,288

2 48, 90, 288
3 24, 45, 144
8, 15, 48

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1177930/6

Therefore the LCM of Fractions 85/48,82/90,338/288 is 1177930/6

Greatest Common Factor of 48,90,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,90,288 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 48,90,288 . The biggest common factor number is the GCF number.
So the greatest common factor 48,90,288 is 6.


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 85/48, 82/90, 338/288

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 85/48, 82/90, 338/288?

Answer: LCM of Numerators as per given numbers 85/48, 82/90, 338/288 is

LCM of Numerators i.e. for 85,82,338 is 1177930

GCF of denominators i.e. for 48,90,288 is 6.

Thus, LCM of Fractions is 1177930/6.Finally, LCM of Fractions for 85/48, 82/90, 338/288 is 1177930/6.