Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 316/590, 9959/798 quickly i.e. 1573522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 316/590, 9959/798 is 1573522.
LCM(316/590, 9959/798) = 1573522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 316/590,9959/798
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 316,9959
Least Common Multiple of Numerators i.e. LCM of 316,9959 is 3147044.
GCF of Denominators means GCF of 590,798 as per the given fractions.
GCF of 590,798 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 316,9959
Given numbers has no common factors except 1. So, there LCM is their product i.e 3147044
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 316,9959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,9959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,9959) x common factors =1 x 1 = 1
LCM(316,9959) = ( 316 × 9959 ) / 1
LCM(316,9959) = 3147044 / 1
LCM(316,9959) = 3147044
Lets's calculate GCF of 590,798
2 | 590, 798 |
295, 399 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3147044/2
Therefore the LCM of Fractions 316/590,9959/798 is 1573522
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
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
Greatest Common Factor
We found the factors 590,798 . The biggest common factor number is the GCF number.
So the greatest common factor 590,798 is 2.
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 316/590, 9959/798?
Answer: LCM of Numerators as per given numbers 316/590, 9959/798 is
LCM of Numerators i.e. for 316,9959 is 3147044
GCF of denominators i.e. for 590,798 is 2.
Thus, LCM of Fractions is 1573522.Finally, LCM of Fractions for 316/590, 9959/798 is 1573522.