Least Common Multiple of 7798/836, 8505/9999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7798/836, 8505/9999 quickly i.e. 9474570/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7798/836, 8505/9999 is 9474570/11.

LCM(7798/836, 8505/9999) = 9474570/11

LCM of 7798/836, 8505/9999

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 7798/836,8505/9999

Given numbers are 7798/836,8505/9999

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 7798,8505

Least Common Multiple of Numerators i.e. LCM of 7798,8505 is 9474570.

GCF of Denominators means GCF of 836,9999 as per the given fractions.

GCF of 836,9999 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7798,8505

LCM of Fractions 7798/836,8505/9999 is 9474570/11

7 7798, 8505
1114, 1215

∴ So the LCM of the given numbers is 7 x 1114 x 1215 = 9474570

Least Common Multiple of 7798,8505 with GCF Formula

Least Common Multiple of 7798,8505 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 7798,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7798,8505) = 7

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

GCF(7798,8505) x common factors =7 x 1 = 7

LCM(7798,8505) = ( 7798 × 8505 ) / 7

LCM(7798,8505) = 66321990 / 7

LCM(7798,8505) = 9474570


Lets's calculate GCF of 836,9999

11 836, 9999
76, 909

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9474570/11

Therefore the LCM of Fractions 7798/836,8505/9999 is 9474570/11

Greatest Common Factor of 836,9999 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,9999 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 9999

List of positive integer factors of 9999 that divides 9999 without a remainder.

1,3,9,11,33,99,101,303,909,1111,3333,9999

Greatest Common Factor

We found the factors 836,9999 . The biggest common factor number is the GCF number.
So the greatest common factor 836,9999 is 11.


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 7798/836, 8505/9999

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 7798/836, 8505/9999?

Answer: LCM of Numerators as per given numbers 7798/836, 8505/9999 is

LCM of Numerators i.e. for 7798,8505 is 9474570

GCF of denominators i.e. for 836,9999 is 11.

Thus, LCM of Fractions is 9474570/11.Finally, LCM of Fractions for 7798/836, 8505/9999 is 9474570/11.