Least Common Multiple of 83/57, 16/108, 357/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/57, 16/108, 357/338 quickly i.e. 474096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/57, 16/108, 357/338 is 474096.

LCM(83/57, 16/108, 357/338) = 474096

LCM of 83/57, 16/108, 357/338

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 83/57,16/108,357/338

Given numbers are 83/57,16/108,357/338

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 83,16,357

Least Common Multiple of Numerators i.e. LCM of 83,16,357 is 474096.

GCF of Denominators means GCF of 57,108,338 as per the given fractions.

GCF of 57,108,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,16,357

LCM of Fractions 83/57,16/108,357/338 is 474096

Given numbers has no common factors except 1. So, there LCM is their product i.e 474096

Least Common Multiple of 83,16,357 with GCF Formula

Least Common Multiple of 83,16,357 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 83,16,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,16,357) = 1

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

GCF(83,16,357) x common factors =1 x 1 = 1

LCM(83,16,357) = ( 83 × 16 × 357 ) / 1

LCM(83,16,357) = 474096 / 1

LCM(83,16,357) = 474096


Lets's calculate GCF of 57,108,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474096/1

Therefore the LCM of Fractions 83/57,16/108,357/338 is 474096

Greatest Common Factor of 57,108,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,108,338 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 57,108,338 . The biggest common factor number is the GCF number.
So the greatest common factor 57,108,338 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 83/57, 16/108, 357/338

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 83/57, 16/108, 357/338?

Answer: LCM of Numerators as per given numbers 83/57, 16/108, 357/338 is

LCM of Numerators i.e. for 83,16,357 is 474096

GCF of denominators i.e. for 57,108,338 is 1.

Thus, LCM of Fractions is 474096.Finally, LCM of Fractions for 83/57, 16/108, 357/338 is 474096.