Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/567, 11/378, 729/724 quickly i.e. 248589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/567, 11/378, 729/724 is 248589.
LCM(93/567, 11/378, 729/724) = 248589
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/567,11/378,729/724
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 93,11,729
Least Common Multiple of Numerators i.e. LCM of 93,11,729 is 248589.
GCF of Denominators means GCF of 567,378,724 as per the given fractions.
GCF of 567,378,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,11,729
3 | 93, 11, 729 |
31, 11, 243 |
∴ So the LCM of the given numbers is 3 x 31 x 11 x 243 = 248589
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 93,11,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,11,729) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,11,729) x common factors =1 x 3 = 3
LCM(93,11,729) = ( 93 × 11 × 729 ) / 3
LCM(93,11,729) = 745767 / 3
LCM(93,11,729) = 248589
Lets's calculate GCF of 567,378,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248589/1
Therefore the LCM of Fractions 93/567,11/378,729/724 is 248589
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 567,378,724 . The biggest common factor number is the GCF number.
So the greatest common factor 567,378,724 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 93/567, 11/378, 729/724?
Answer: LCM of Numerators as per given numbers 93/567, 11/378, 729/724 is
LCM of Numerators i.e. for 93,11,729 is 248589
GCF of denominators i.e. for 567,378,724 is 1.
Thus, LCM of Fractions is 248589.Finally, LCM of Fractions for 93/567, 11/378, 729/724 is 248589.