Least Common Multiple of 833/96, 535/74, 838/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 833/96, 535/74, 838/394 quickly i.e. 186729445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 833/96, 535/74, 838/394 is 186729445.

LCM(833/96, 535/74, 838/394) = 186729445

LCM of 833/96, 535/74, 838/394

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 833/96,535/74,838/394

Given numbers are 833/96,535/74,838/394

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 833,535,838

Least Common Multiple of Numerators i.e. LCM of 833,535,838 is 373458890.

GCF of Denominators means GCF of 96,74,394 as per the given fractions.

GCF of 96,74,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 833,535,838

LCM of Fractions 833/96,535/74,838/394 is 186729445

Given numbers has no common factors except 1. So, there LCM is their product i.e 373458890

Least Common Multiple of 833,535,838 with GCF Formula

Least Common Multiple of 833,535,838 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 833,535,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(833,535,838) = 1

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

GCF(833,535,838) x common factors =1 x 1 = 1

LCM(833,535,838) = ( 833 × 535 × 838 ) / 1

LCM(833,535,838) = 373458890 / 1

LCM(833,535,838) = 373458890


Lets's calculate GCF of 96,74,394

2 96, 74, 394
48, 37, 197

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373458890/2

Therefore the LCM of Fractions 833/96,535/74,838/394 is 186729445

Greatest Common Factor of 96,74,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,74,394 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 96,74,394 . The biggest common factor number is the GCF number.
So the greatest common factor 96,74,394 is 2.


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Frequently Asked Questions on Fractional LCM of 833/96, 535/74, 838/394

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 833/96, 535/74, 838/394?

Answer: LCM of Numerators as per given numbers 833/96, 535/74, 838/394 is

LCM of Numerators i.e. for 833,535,838 is 373458890

GCF of denominators i.e. for 96,74,394 is 2.

Thus, LCM of Fractions is 186729445.Finally, LCM of Fractions for 833/96, 535/74, 838/394 is 186729445.