Least Common Multiple of 13/822, 2878/7774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/822, 2878/7774 quickly i.e. 18707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/822, 2878/7774 is 18707.

LCM(13/822, 2878/7774) = 18707

LCM of 13/822, 2878/7774

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 13/822,2878/7774

Given numbers are 13/822,2878/7774

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 13,2878

Least Common Multiple of Numerators i.e. LCM of 13,2878 is 37414.

GCF of Denominators means GCF of 822,7774 as per the given fractions.

GCF of 822,7774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,2878

LCM of Fractions 13/822,2878/7774 is 18707

Given numbers has no common factors except 1. So, there LCM is their product i.e 37414

Least Common Multiple of 13,2878 with GCF Formula

Least Common Multiple of 13,2878 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 13,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2878) = 1

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

GCF(13,2878) x common factors =1 x 1 = 1

LCM(13,2878) = ( 13 × 2878 ) / 1

LCM(13,2878) = 37414 / 1

LCM(13,2878) = 37414


Lets's calculate GCF of 822,7774

2 822, 7774
411, 3887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37414/2

Therefore the LCM of Fractions 13/822,2878/7774 is 18707

Greatest Common Factor of 822,7774 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,7774 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1,2,13,23,26,46,169,299,338,598,3887,7774

Greatest Common Factor

We found the factors 822,7774 . The biggest common factor number is the GCF number.
So the greatest common factor 822,7774 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 13/822, 2878/7774

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 13/822, 2878/7774?

Answer: LCM of Numerators as per given numbers 13/822, 2878/7774 is

LCM of Numerators i.e. for 13,2878 is 37414

GCF of denominators i.e. for 822,7774 is 2.

Thus, LCM of Fractions is 18707.Finally, LCM of Fractions for 13/822, 2878/7774 is 18707.