Least Common Multiple of 101/78, 133/6844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/78, 133/6844 quickly i.e. 13433/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/78, 133/6844 is 13433/2.

LCM(101/78, 133/6844) = 13433/2

LCM of 101/78, 133/6844

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 101/78,133/6844

Given numbers are 101/78,133/6844

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 101,133

Least Common Multiple of Numerators i.e. LCM of 101,133 is 13433.

GCF of Denominators means GCF of 78,6844 as per the given fractions.

GCF of 78,6844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,133

LCM of Fractions 101/78,133/6844 is 13433/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 13433

Least Common Multiple of 101,133 with GCF Formula

Least Common Multiple of 101,133 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 101,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,133) = 1

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

GCF(101,133) x common factors =1 x 1 = 1

LCM(101,133) = ( 101 × 133 ) / 1

LCM(101,133) = 13433 / 1

LCM(101,133) = 13433


Lets's calculate GCF of 78,6844

2 78, 6844
39, 3422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13433/2

Therefore the LCM of Fractions 101/78,133/6844 is 13433/2

Greatest Common Factor of 78,6844 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6844 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1,2,4,29,58,59,116,118,236,1711,3422,6844

Greatest Common Factor

We found the factors 78,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6844 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 101/78, 133/6844

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 101/78, 133/6844?

Answer: LCM of Numerators as per given numbers 101/78, 133/6844 is

LCM of Numerators i.e. for 101,133 is 13433

GCF of denominators i.e. for 78,6844 is 2.

Thus, LCM of Fractions is 13433/2.Finally, LCM of Fractions for 101/78, 133/6844 is 13433/2.