Least Common Multiple of 38/168, 15/783, 959/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/168, 15/783, 959/104 quickly i.e. 546630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/168, 15/783, 959/104 is 546630.

LCM(38/168, 15/783, 959/104) = 546630

LCM of 38/168, 15/783, 959/104

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 38/168,15/783,959/104

Given numbers are 38/168,15/783,959/104

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 38,15,959

Least Common Multiple of Numerators i.e. LCM of 38,15,959 is 546630.

GCF of Denominators means GCF of 168,783,104 as per the given fractions.

GCF of 168,783,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,15,959

LCM of Fractions 38/168,15/783,959/104 is 546630

Given numbers has no common factors except 1. So, there LCM is their product i.e 546630

Least Common Multiple of 38,15,959 with GCF Formula

Least Common Multiple of 38,15,959 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 38,15,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,15,959) = 1

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

GCF(38,15,959) x common factors =1 x 1 = 1

LCM(38,15,959) = ( 38 × 15 × 959 ) / 1

LCM(38,15,959) = 546630 / 1

LCM(38,15,959) = 546630


Lets's calculate GCF of 168,783,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546630/1

Therefore the LCM of Fractions 38/168,15/783,959/104 is 546630

Greatest Common Factor of 168,783,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,783,104 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 168,783,104 . The biggest common factor number is the GCF number.
So the greatest common factor 168,783,104 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 38/168, 15/783, 959/104

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 38/168, 15/783, 959/104?

Answer: LCM of Numerators as per given numbers 38/168, 15/783, 959/104 is

LCM of Numerators i.e. for 38,15,959 is 546630

GCF of denominators i.e. for 168,783,104 is 1.

Thus, LCM of Fractions is 546630.Finally, LCM of Fractions for 38/168, 15/783, 959/104 is 546630.