Least Common Multiple of 198/93, 523/75, 935/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/93, 523/75, 935/276 quickly i.e. 2934030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/93, 523/75, 935/276 is 2934030.

LCM(198/93, 523/75, 935/276) = 2934030

LCM of 198/93, 523/75, 935/276

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 198/93,523/75,935/276

Given numbers are 198/93,523/75,935/276

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 198,523,935

Least Common Multiple of Numerators i.e. LCM of 198,523,935 is 8802090.

GCF of Denominators means GCF of 93,75,276 as per the given fractions.

GCF of 93,75,276 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,523,935

LCM of Fractions 198/93,523/75,935/276 is 2934030

11 198, 523, 935
18, 523, 85

∴ So the LCM of the given numbers is 11 x 18 x 523 x 85 = 8802090

Least Common Multiple of 198,523,935 with GCF Formula

Least Common Multiple of 198,523,935 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 198,523,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,523,935) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(198,523,935) x common factors =1 x 11 = 11

LCM(198,523,935) = ( 198 × 523 × 935 ) / 11

LCM(198,523,935) = 96822990 / 11

LCM(198,523,935) = 8802090


Lets's calculate GCF of 93,75,276

3 93, 75, 276
31, 25, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8802090/3

Therefore the LCM of Fractions 198/93,523/75,935/276 is 2934030

Greatest Common Factor of 93,75,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,75,276 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 93,75,276 . The biggest common factor number is the GCF number.
So the greatest common factor 93,75,276 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 198/93, 523/75, 935/276

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 198/93, 523/75, 935/276?

Answer: LCM of Numerators as per given numbers 198/93, 523/75, 935/276 is

LCM of Numerators i.e. for 198,523,935 is 8802090

GCF of denominators i.e. for 93,75,276 is 3.

Thus, LCM of Fractions is 2934030.Finally, LCM of Fractions for 198/93, 523/75, 935/276 is 2934030.