Least Common Multiple of 38/320, 3958/9879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/320, 3958/9879 quickly i.e. 75202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/320, 3958/9879 is 75202.

LCM(38/320, 3958/9879) = 75202

LCM of 38/320, 3958/9879

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 38/320,3958/9879

Given numbers are 38/320,3958/9879

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 38,3958

Least Common Multiple of Numerators i.e. LCM of 38,3958 is 75202.

GCF of Denominators means GCF of 320,9879 as per the given fractions.

GCF of 320,9879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,3958

LCM of Fractions 38/320,3958/9879 is 75202

2 38, 3958
19, 1979

∴ So the LCM of the given numbers is 2 x 19 x 1979 = 75202

Least Common Multiple of 38,3958 with GCF Formula

Least Common Multiple of 38,3958 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 38,3958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,3958) = 2

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

GCF(38,3958) x common factors =2 x 1 = 2

LCM(38,3958) = ( 38 × 3958 ) / 2

LCM(38,3958) = 150404 / 2

LCM(38,3958) = 75202


Lets's calculate GCF of 320,9879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75202/1

Therefore the LCM of Fractions 38/320,3958/9879 is 75202

Greatest Common Factor of 320,9879 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,9879 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1,3,37,89,111,267,3293,9879

Greatest Common Factor

We found the factors 320,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 320,9879 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 38/320, 3958/9879

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 38/320, 3958/9879?

Answer: LCM of Numerators as per given numbers 38/320, 3958/9879 is

LCM of Numerators i.e. for 38,3958 is 75202

GCF of denominators i.e. for 320,9879 is 1.

Thus, LCM of Fractions is 75202.Finally, LCM of Fractions for 38/320, 3958/9879 is 75202.