Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 306/72, 968/729 quickly i.e. 16456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 306/72, 968/729 is 16456.
LCM(306/72, 968/729) = 16456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 306/72,968/729
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 306,968
Least Common Multiple of Numerators i.e. LCM of 306,968 is 148104.
GCF of Denominators means GCF of 72,729 as per the given fractions.
GCF of 72,729 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 306,968
2 | 306, 968 |
153, 484 |
∴ So the LCM of the given numbers is 2 x 153 x 484 = 148104
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 306,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,968) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,968) x common factors =2 x 1 = 2
LCM(306,968) = ( 306 × 968 ) / 2
LCM(306,968) = 296208 / 2
LCM(306,968) = 148104
Lets's calculate GCF of 72,729
3 | 72, 729 |
3 | 24, 243 |
8, 81 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148104/9
Therefore the LCM of Fractions 306/72,968/729 is 16456
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 72,729 . The biggest common factor number is the GCF number.
So the greatest common factor 72,729 is 9.
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 306/72, 968/729?
Answer: LCM of Numerators as per given numbers 306/72, 968/729 is
LCM of Numerators i.e. for 306,968 is 148104
GCF of denominators i.e. for 72,729 is 9.
Thus, LCM of Fractions is 16456.Finally, LCM of Fractions for 306/72, 968/729 is 16456.