Least Common Multiple of 933/110, 904/775, 234/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 933/110, 904/775, 234/113 quickly i.e. 32893848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/110, 904/775, 234/113 is 32893848.

LCM(933/110, 904/775, 234/113) = 32893848

LCM of 933/110, 904/775, 234/113

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 933/110,904/775,234/113

Given numbers are 933/110,904/775,234/113

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 933,904,234

Least Common Multiple of Numerators i.e. LCM of 933,904,234 is 32893848.

GCF of Denominators means GCF of 110,775,113 as per the given fractions.

GCF of 110,775,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,904,234

LCM of Fractions 933/110,904/775,234/113 is 32893848

2 933, 904, 234
3 933, 452, 117
311, 452, 39

∴ So the LCM of the given numbers is 2 x 3 x 311 x 452 x 39 = 32893848

Least Common Multiple of 933,904,234 with GCF Formula

Least Common Multiple of 933,904,234 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 933,904,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,904,234) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(933,904,234) x common factors =1 x 6 = 6

LCM(933,904,234) = ( 933 × 904 × 234 ) / 6

LCM(933,904,234) = 197363088 / 6

LCM(933,904,234) = 32893848


Lets's calculate GCF of 110,775,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32893848/1

Therefore the LCM of Fractions 933/110,904/775,234/113 is 32893848

Greatest Common Factor of 110,775,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,775,113 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 110,775,113 . The biggest common factor number is the GCF number.
So the greatest common factor 110,775,113 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 933/110, 904/775, 234/113

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 933/110, 904/775, 234/113?

Answer: LCM of Numerators as per given numbers 933/110, 904/775, 234/113 is

LCM of Numerators i.e. for 933,904,234 is 32893848

GCF of denominators i.e. for 110,775,113 is 1.

Thus, LCM of Fractions is 32893848.Finally, LCM of Fractions for 933/110, 904/775, 234/113 is 32893848.