Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/493, 599/592, 124/314 quickly i.e. 74276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/493, 599/592, 124/314 is 74276.
LCM(31/493, 599/592, 124/314) = 74276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/493,599/592,124/314
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 31,599,124
Least Common Multiple of Numerators i.e. LCM of 31,599,124 is 74276.
GCF of Denominators means GCF of 493,592,314 as per the given fractions.
GCF of 493,592,314 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,599,124
31 | 31, 599, 124 |
1, 599, 4 |
∴ So the LCM of the given numbers is 31 x 1 x 599 x 4 = 74276
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 31,599,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,599,124) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,599,124) x common factors =1 x 31 = 31
LCM(31,599,124) = ( 31 × 599 × 124 ) / 31
LCM(31,599,124) = 2302556 / 31
LCM(31,599,124) = 74276
Lets's calculate GCF of 493,592,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74276/1
Therefore the LCM of Fractions 31/493,599/592,124/314 is 74276
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 493,592,314 . The biggest common factor number is the GCF number.
So the greatest common factor 493,592,314 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 31/493, 599/592, 124/314?
Answer: LCM of Numerators as per given numbers 31/493, 599/592, 124/314 is
LCM of Numerators i.e. for 31,599,124 is 74276
GCF of denominators i.e. for 493,592,314 is 1.
Thus, LCM of Fractions is 74276.Finally, LCM of Fractions for 31/493, 599/592, 124/314 is 74276.