Least Common Multiple of 93/24, 82/22, 17/21, 41/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/24, 82/22, 17/21, 41/198 quickly i.e. 129642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/24, 82/22, 17/21, 41/198 is 129642.

LCM(93/24, 82/22, 17/21, 41/198) = 129642

LCM of 93/24, 82/22, 17/21, 41/198

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 93/24,82/22,17/21,41/198

Given numbers are 93/24,82/22,17/21,41/198

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 93,82,17,41

Least Common Multiple of Numerators i.e. LCM of 93,82,17,41 is 129642.

GCF of Denominators means GCF of 24,22,21,198 as per the given fractions.

GCF of 24,22,21,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,82,17,41

LCM of Fractions 93/24,82/22,17/21,41/198 is 129642

41 93, 82, 17, 41
93, 2, 17, 1

∴ So the LCM of the given numbers is 41 x 93 x 2 x 17 x 1 = 129642

Least Common Multiple of 93,82,17,41 with GCF Formula

Least Common Multiple of 93,82,17,41 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 93,82,17,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,82,17,41) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(93,82,17,41) x common factors =1 x 41 = 41

LCM(93,82,17,41) = ( 93 × 82 × 17 × 41 ) / 41

LCM(93,82,17,41) = 5315322 / 41

LCM(93,82,17,41) = 129642


Lets's calculate GCF of 24,22,21,198

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129642/1

Therefore the LCM of Fractions 93/24,82/22,17/21,41/198 is 129642

Greatest Common Factor of 24,22,21,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,22,21,198 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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

Greatest Common Factor

We found the factors 24,22,21,198 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,21,198 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 93/24, 82/22, 17/21, 41/198

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 93/24, 82/22, 17/21, 41/198?

Answer: LCM of Numerators as per given numbers 93/24, 82/22, 17/21, 41/198 is

LCM of Numerators i.e. for 93,82,17,41 is 129642

GCF of denominators i.e. for 24,22,21,198 is 1.

Thus, LCM of Fractions is 129642.Finally, LCM of Fractions for 93/24, 82/22, 17/21, 41/198 is 129642.