Least Common Multiple of 982/38, 138/3900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/38, 138/3900 quickly i.e. 33879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/38, 138/3900 is 33879.

LCM(982/38, 138/3900) = 33879

LCM of 982/38, 138/3900

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 982/38,138/3900

Given numbers are 982/38,138/3900

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 982,138

Least Common Multiple of Numerators i.e. LCM of 982,138 is 67758.

GCF of Denominators means GCF of 38,3900 as per the given fractions.

GCF of 38,3900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,138

LCM of Fractions 982/38,138/3900 is 33879

2 982, 138
491, 69

∴ So the LCM of the given numbers is 2 x 491 x 69 = 67758

Least Common Multiple of 982,138 with GCF Formula

Least Common Multiple of 982,138 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 982,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,138) = 2

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

GCF(982,138) x common factors =2 x 1 = 2

LCM(982,138) = ( 982 × 138 ) / 2

LCM(982,138) = 135516 / 2

LCM(982,138) = 67758


Lets's calculate GCF of 38,3900

2 38, 3900
19, 1950

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67758/2

Therefore the LCM of Fractions 982/38,138/3900 is 33879

Greatest Common Factor of 38,3900 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,3900 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Greatest Common Factor

We found the factors 38,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 38,3900 is 2.


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 982/38, 138/3900

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 982/38, 138/3900?

Answer: LCM of Numerators as per given numbers 982/38, 138/3900 is

LCM of Numerators i.e. for 982,138 is 67758

GCF of denominators i.e. for 38,3900 is 2.

Thus, LCM of Fractions is 33879.Finally, LCM of Fractions for 982/38, 138/3900 is 33879.