Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/594, 32/798, 478/845 quickly i.e. 298272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/594, 32/798, 478/845 is 298272.
LCM(78/594, 32/798, 478/845) = 298272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/594,32/798,478/845
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 78,32,478
Least Common Multiple of Numerators i.e. LCM of 78,32,478 is 298272.
GCF of Denominators means GCF of 594,798,845 as per the given fractions.
GCF of 594,798,845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,32,478
2 | 78, 32, 478 |
39, 16, 239 |
∴ So the LCM of the given numbers is 2 x 39 x 16 x 239 = 298272
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 78,32,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,32,478) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(78,32,478) x common factors =2 x 2 = 4
LCM(78,32,478) = ( 78 × 32 × 478 ) / 4
LCM(78,32,478) = 1193088 / 4
LCM(78,32,478) = 298272
Lets's calculate GCF of 594,798,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298272/1
Therefore the LCM of Fractions 78/594,32/798,478/845 is 298272
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 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 594,798,845 . The biggest common factor number is the GCF number.
So the greatest common factor 594,798,845 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 78/594, 32/798, 478/845?
Answer: LCM of Numerators as per given numbers 78/594, 32/798, 478/845 is
LCM of Numerators i.e. for 78,32,478 is 298272
GCF of denominators i.e. for 594,798,845 is 1.
Thus, LCM of Fractions is 298272.Finally, LCM of Fractions for 78/594, 32/798, 478/845 is 298272.