Least Common Multiple of 596/99, 488/29, 905/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/99, 488/29, 905/48 quickly i.e. 65804360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/99, 488/29, 905/48 is 65804360.

LCM(596/99, 488/29, 905/48) = 65804360

LCM of 596/99, 488/29, 905/48

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 596/99,488/29,905/48

Given numbers are 596/99,488/29,905/48

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 596,488,905

Least Common Multiple of Numerators i.e. LCM of 596,488,905 is 65804360.

GCF of Denominators means GCF of 99,29,48 as per the given fractions.

GCF of 99,29,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,488,905

LCM of Fractions 596/99,488/29,905/48 is 65804360

2 596, 488, 905
2 298, 244, 905
149, 122, 905

∴ So the LCM of the given numbers is 2 x 2 x 149 x 122 x 905 = 65804360

Least Common Multiple of 596,488,905 with GCF Formula

Least Common Multiple of 596,488,905 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 596,488,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,488,905) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(596,488,905) x common factors =1 x 4 = 4

LCM(596,488,905) = ( 596 × 488 × 905 ) / 4

LCM(596,488,905) = 263217440 / 4

LCM(596,488,905) = 65804360


Lets's calculate GCF of 99,29,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65804360/1

Therefore the LCM of Fractions 596/99,488/29,905/48 is 65804360

Greatest Common Factor of 99,29,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,29,48 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Greatest Common Factor

We found the factors 99,29,48 . The biggest common factor number is the GCF number.
So the greatest common factor 99,29,48 is 1.


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 596/99, 488/29, 905/48

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 596/99, 488/29, 905/48?

Answer: LCM of Numerators as per given numbers 596/99, 488/29, 905/48 is

LCM of Numerators i.e. for 596,488,905 is 65804360

GCF of denominators i.e. for 99,29,48 is 1.

Thus, LCM of Fractions is 65804360.Finally, LCM of Fractions for 596/99, 488/29, 905/48 is 65804360.