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
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
3 | 99, 12, 591 |
33, 4, 197 |
∴ So the LCM of the given numbers is 3 x 33 x 4 x 197 = 78012
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
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.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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.