Least Common Multiple of 93/198, 96/837, 107/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/198, 96/837, 107/849 quickly i.e. 106144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/198, 96/837, 107/849 is 106144.

LCM(93/198, 96/837, 107/849) = 106144

LCM of 93/198, 96/837, 107/849

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 93/198,96/837,107/849

Given numbers are 93/198,96/837,107/849

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 93,96,107

Least Common Multiple of Numerators i.e. LCM of 93,96,107 is 318432.

GCF of Denominators means GCF of 198,837,849 as per the given fractions.

GCF of 198,837,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,96,107

LCM of Fractions 93/198,96/837,107/849 is 106144

3 93, 96, 107
31, 32, 107

∴ So the LCM of the given numbers is 3 x 31 x 32 x 107 = 318432

Least Common Multiple of 93,96,107 with GCF Formula

Least Common Multiple of 93,96,107 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 93,96,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,96,107) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,96,107) x common factors =1 x 3 = 3

LCM(93,96,107) = ( 93 × 96 × 107 ) / 3

LCM(93,96,107) = 955296 / 3

LCM(93,96,107) = 318432


Lets's calculate GCF of 198,837,849

3 198, 837, 849
66, 279, 283

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318432/3

Therefore the LCM of Fractions 93/198,96/837,107/849 is 106144

Greatest Common Factor of 198,837,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,837,849 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 198,837,849 . The biggest common factor number is the GCF number.
So the greatest common factor 198,837,849 is 3.


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 93/198, 96/837, 107/849

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 93/198, 96/837, 107/849?

Answer: LCM of Numerators as per given numbers 93/198, 96/837, 107/849 is

LCM of Numerators i.e. for 93,96,107 is 318432

GCF of denominators i.e. for 198,837,849 is 3.

Thus, LCM of Fractions is 106144.Finally, LCM of Fractions for 93/198, 96/837, 107/849 is 106144.