Least Common Multiple of 9900/91, 5538/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9900/91, 5538/819 quickly i.e. 9137700/91 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9900/91, 5538/819 is 9137700/91.

LCM(9900/91, 5538/819) = 9137700/91

LCM of 9900/91, 5538/819

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 9900/91,5538/819

Given numbers are 9900/91,5538/819

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 9900,5538

Least Common Multiple of Numerators i.e. LCM of 9900,5538 is 9137700.

GCF of Denominators means GCF of 91,819 as per the given fractions.

GCF of 91,819 is 91 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9900,5538

LCM of Fractions 9900/91,5538/819 is 9137700/91

2 9900, 5538
3 4950, 2769
1650, 923

∴ So the LCM of the given numbers is 2 x 3 x 1650 x 923 = 9137700

Least Common Multiple of 9900,5538 with GCF Formula

Least Common Multiple of 9900,5538 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 9900,5538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9900,5538) = 6

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

GCF(9900,5538) x common factors =6 x 1 = 6

LCM(9900,5538) = ( 9900 × 5538 ) / 6

LCM(9900,5538) = 54826200 / 6

LCM(9900,5538) = 9137700


Lets's calculate GCF of 91,819

7 91, 819
13 13, 117
1, 9

∴ So the GCF of the given numbers is 7 x 13 = 91

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9137700/91

Therefore the LCM of Fractions 9900/91,5538/819 is 9137700/91

Greatest Common Factor of 91,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,819 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 91,819 . The biggest common factor number is the GCF number.
So the greatest common factor 91,819 is 91.


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 9900/91, 5538/819

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 9900/91, 5538/819?

Answer: LCM of Numerators as per given numbers 9900/91, 5538/819 is

LCM of Numerators i.e. for 9900,5538 is 9137700

GCF of denominators i.e. for 91,819 is 91.

Thus, LCM of Fractions is 9137700/91.Finally, LCM of Fractions for 9900/91, 5538/819 is 9137700/91.