Least Common Multiple of 99/42, 12/268, 591/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/42, 12/268, 591/603 quickly i.e. 78012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/42, 12/268, 591/603 is 78012.

LCM(99/42, 12/268, 591/603) = 78012

LCM of 99/42, 12/268, 591/603

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 99/42,12/268,591/603

Given numbers are 99/42,12/268,591/603

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 99,12,591

Least Common Multiple of Numerators i.e. LCM of 99,12,591 is 78012.

GCF of Denominators means GCF of 42,268,603 as per the given fractions.

GCF of 42,268,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,12,591

LCM of Fractions 99/42,12/268,591/603 is 78012

3 99, 12, 591
33, 4, 197

∴ So the LCM of the given numbers is 3 x 33 x 4 x 197 = 78012

Least Common Multiple of 99,12,591 with GCF Formula

Least Common Multiple of 99,12,591 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 99,12,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,12,591) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(99,12,591) x common factors =3 x 3 = 9

LCM(99,12,591) = ( 99 × 12 × 591 ) / 9

LCM(99,12,591) = 702108 / 9

LCM(99,12,591) = 78012


Lets's calculate GCF of 42,268,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78012/1

Therefore the LCM of Fractions 99/42,12/268,591/603 is 78012

Greatest Common Factor of 42,268,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,268,603 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 42,268,603 . The biggest common factor number is the GCF number.
So the greatest common factor 42,268,603 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/42, 12/268, 591/603

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 99/42, 12/268, 591/603?

Answer: LCM of Numerators as per given numbers 99/42, 12/268, 591/603 is

LCM of Numerators i.e. for 99,12,591 is 78012

GCF of denominators i.e. for 42,268,603 is 1.

Thus, LCM of Fractions is 78012.Finally, LCM of Fractions for 99/42, 12/268, 591/603 is 78012.