Least Common Multiple of 6839/326, 9980/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6839/326, 9980/106 quickly i.e. 34126610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6839/326, 9980/106 is 34126610.

LCM(6839/326, 9980/106) = 34126610

LCM of 6839/326, 9980/106

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 6839/326,9980/106

Given numbers are 6839/326,9980/106

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 6839,9980

Least Common Multiple of Numerators i.e. LCM of 6839,9980 is 68253220.

GCF of Denominators means GCF of 326,106 as per the given fractions.

GCF of 326,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6839,9980

LCM of Fractions 6839/326,9980/106 is 34126610

Given numbers has no common factors except 1. So, there LCM is their product i.e 68253220

Least Common Multiple of 6839,9980 with GCF Formula

Least Common Multiple of 6839,9980 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 6839,9980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6839,9980) = 1

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

GCF(6839,9980) x common factors =1 x 1 = 1

LCM(6839,9980) = ( 6839 × 9980 ) / 1

LCM(6839,9980) = 68253220 / 1

LCM(6839,9980) = 68253220


Lets's calculate GCF of 326,106

2 326, 106
163, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68253220/2

Therefore the LCM of Fractions 6839/326,9980/106 is 34126610

Greatest Common Factor of 326,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,106 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 326,106 . The biggest common factor number is the GCF number.
So the greatest common factor 326,106 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 6839/326, 9980/106

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 6839/326, 9980/106?

Answer: LCM of Numerators as per given numbers 6839/326, 9980/106 is

LCM of Numerators i.e. for 6839,9980 is 68253220

GCF of denominators i.e. for 326,106 is 2.

Thus, LCM of Fractions is 34126610.Finally, LCM of Fractions for 6839/326, 9980/106 is 34126610.