Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/594, 331/117, 480/915 quickly i.e. 4819360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/594, 331/117, 480/915 is 4819360.
LCM(91/594, 331/117, 480/915) = 4819360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/594,331/117,480/915
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 91,331,480
Least Common Multiple of Numerators i.e. LCM of 91,331,480 is 14458080.
GCF of Denominators means GCF of 594,117,915 as per the given fractions.
GCF of 594,117,915 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,331,480
Given numbers has no common factors except 1. So, there LCM is their product i.e 14458080
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 91,331,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,331,480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,331,480) x common factors =1 x 1 = 1
LCM(91,331,480) = ( 91 × 331 × 480 ) / 1
LCM(91,331,480) = 14458080 / 1
LCM(91,331,480) = 14458080
Lets's calculate GCF of 594,117,915
3 | 594, 117, 915 |
198, 39, 305 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14458080/3
Therefore the LCM of Fractions 91/594,331/117,480/915 is 4819360
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 594,117,915 . The biggest common factor number is the GCF number.
So the greatest common factor 594,117,915 is 3.
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 91/594, 331/117, 480/915?
Answer: LCM of Numerators as per given numbers 91/594, 331/117, 480/915 is
LCM of Numerators i.e. for 91,331,480 is 14458080
GCF of denominators i.e. for 594,117,915 is 3.
Thus, LCM of Fractions is 4819360.Finally, LCM of Fractions for 91/594, 331/117, 480/915 is 4819360.