Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 359/594, 3696/502 quickly i.e. 663432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 359/594, 3696/502 is 663432.
LCM(359/594, 3696/502) = 663432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 359/594,3696/502
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 359,3696
Least Common Multiple of Numerators i.e. LCM of 359,3696 is 1326864.
GCF of Denominators means GCF of 594,502 as per the given fractions.
GCF of 594,502 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 359,3696
Given numbers has no common factors except 1. So, there LCM is their product i.e 1326864
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 359,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,3696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,3696) x common factors =1 x 1 = 1
LCM(359,3696) = ( 359 × 3696 ) / 1
LCM(359,3696) = 1326864 / 1
LCM(359,3696) = 1326864
Lets's calculate GCF of 594,502
2 | 594, 502 |
297, 251 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326864/2
Therefore the LCM of Fractions 359/594,3696/502 is 663432
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 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 594,502 . The biggest common factor number is the GCF number.
So the greatest common factor 594,502 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 359/594, 3696/502?
Answer: LCM of Numerators as per given numbers 359/594, 3696/502 is
LCM of Numerators i.e. for 359,3696 is 1326864
GCF of denominators i.e. for 594,502 is 2.
Thus, LCM of Fractions is 663432.Finally, LCM of Fractions for 359/594, 3696/502 is 663432.