Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/58, 306/5965 quickly i.e. 142596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/58, 306/5965 is 142596.
LCM(932/58, 306/5965) = 142596
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/58,306/5965
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 932,306
Least Common Multiple of Numerators i.e. LCM of 932,306 is 142596.
GCF of Denominators means GCF of 58,5965 as per the given fractions.
GCF of 58,5965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,306
2 | 932, 306 |
466, 153 |
∴ So the LCM of the given numbers is 2 x 466 x 153 = 142596
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 932,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,306) x common factors =2 x 1 = 2
LCM(932,306) = ( 932 × 306 ) / 2
LCM(932,306) = 285192 / 2
LCM(932,306) = 142596
Lets's calculate GCF of 58,5965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142596/1
Therefore the LCM of Fractions 932/58,306/5965 is 142596
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Greatest Common Factor
We found the factors 58,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5965 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 932/58, 306/5965?
Answer: LCM of Numerators as per given numbers 932/58, 306/5965 is
LCM of Numerators i.e. for 932,306 is 142596
GCF of denominators i.e. for 58,5965 is 1.
Thus, LCM of Fractions is 142596.Finally, LCM of Fractions for 932/58, 306/5965 is 142596.