Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/991, 795/597, 595/389 quickly i.e. 45221190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/991, 795/597, 595/389 is 45221190.
LCM(478/991, 795/597, 595/389) = 45221190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/991,795/597,595/389
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 478,795,595
Least Common Multiple of Numerators i.e. LCM of 478,795,595 is 45221190.
GCF of Denominators means GCF of 991,597,389 as per the given fractions.
GCF of 991,597,389 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,795,595
5 | 478, 795, 595 |
478, 159, 119 |
∴ So the LCM of the given numbers is 5 x 478 x 159 x 119 = 45221190
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 478,795,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,795,595) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(478,795,595) x common factors =1 x 5 = 5
LCM(478,795,595) = ( 478 × 795 × 595 ) / 5
LCM(478,795,595) = 226105950 / 5
LCM(478,795,595) = 45221190
Lets's calculate GCF of 991,597,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45221190/1
Therefore the LCM of Fractions 478/991,795/597,595/389 is 45221190
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 991,597,389 . The biggest common factor number is the GCF number.
So the greatest common factor 991,597,389 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 478/991, 795/597, 595/389?
Answer: LCM of Numerators as per given numbers 478/991, 795/597, 595/389 is
LCM of Numerators i.e. for 478,795,595 is 45221190
GCF of denominators i.e. for 991,597,389 is 1.
Thus, LCM of Fractions is 45221190.Finally, LCM of Fractions for 478/991, 795/597, 595/389 is 45221190.