Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/52, 599/27, 365/644 quickly i.e. 104507530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/52, 599/27, 365/644 is 104507530.
LCM(478/52, 599/27, 365/644) = 104507530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/52,599/27,365/644
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 478,599,365
Least Common Multiple of Numerators i.e. LCM of 478,599,365 is 104507530.
GCF of Denominators means GCF of 52,27,644 as per the given fractions.
GCF of 52,27,644 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,599,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 104507530
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 478,599,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,599,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,599,365) x common factors =1 x 1 = 1
LCM(478,599,365) = ( 478 × 599 × 365 ) / 1
LCM(478,599,365) = 104507530 / 1
LCM(478,599,365) = 104507530
Lets's calculate GCF of 52,27,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104507530/1
Therefore the LCM of Fractions 478/52,599/27,365/644 is 104507530
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 52,27,644 . The biggest common factor number is the GCF number.
So the greatest common factor 52,27,644 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 478/52, 599/27, 365/644?
Answer: LCM of Numerators as per given numbers 478/52, 599/27, 365/644 is
LCM of Numerators i.e. for 478,599,365 is 104507530
GCF of denominators i.e. for 52,27,644 is 1.
Thus, LCM of Fractions is 104507530.Finally, LCM of Fractions for 478/52, 599/27, 365/644 is 104507530.