Least Common Multiple of 593/83, 992/60, 994/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 593/83, 992/60, 994/396 quickly i.e. 292363232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 593/83, 992/60, 994/396 is 292363232.

LCM(593/83, 992/60, 994/396) = 292363232

LCM of 593/83, 992/60, 994/396

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 593/83,992/60,994/396

Given numbers are 593/83,992/60,994/396

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 593,992,994

Least Common Multiple of Numerators i.e. LCM of 593,992,994 is 292363232.

GCF of Denominators means GCF of 83,60,396 as per the given fractions.

GCF of 83,60,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 593,992,994

LCM of Fractions 593/83,992/60,994/396 is 292363232

2 593, 992, 994
593, 496, 497

∴ So the LCM of the given numbers is 2 x 593 x 496 x 497 = 292363232

Least Common Multiple of 593,992,994 with GCF Formula

Least Common Multiple of 593,992,994 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 593,992,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,992,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(593,992,994) x common factors =1 x 2 = 2

LCM(593,992,994) = ( 593 × 992 × 994 ) / 2

LCM(593,992,994) = 584726464 / 2

LCM(593,992,994) = 292363232


Lets's calculate GCF of 83,60,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292363232/1

Therefore the LCM of Fractions 593/83,992/60,994/396 is 292363232

Greatest Common Factor of 83,60,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,60,396 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 83,60,396 . The biggest common factor number is the GCF number.
So the greatest common factor 83,60,396 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 593/83, 992/60, 994/396

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 593/83, 992/60, 994/396?

Answer: LCM of Numerators as per given numbers 593/83, 992/60, 994/396 is

LCM of Numerators i.e. for 593,992,994 is 292363232

GCF of denominators i.e. for 83,60,396 is 1.

Thus, LCM of Fractions is 292363232.Finally, LCM of Fractions for 593/83, 992/60, 994/396 is 292363232.