Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/28, 324/58, 867/726 quickly i.e. 1451358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/28, 324/58, 867/726 is 1451358.
LCM(31/28, 324/58, 867/726) = 1451358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/28,324/58,867/726
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 31,324,867
Least Common Multiple of Numerators i.e. LCM of 31,324,867 is 2902716.
GCF of Denominators means GCF of 28,58,726 as per the given fractions.
GCF of 28,58,726 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,324,867
3 | 31, 324, 867 |
31, 108, 289 |
∴ So the LCM of the given numbers is 3 x 31 x 108 x 289 = 2902716
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 31,324,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,324,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(31,324,867) x common factors =1 x 3 = 3
LCM(31,324,867) = ( 31 × 324 × 867 ) / 3
LCM(31,324,867) = 8708148 / 3
LCM(31,324,867) = 2902716
Lets's calculate GCF of 28,58,726
2 | 28, 58, 726 |
14, 29, 363 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2902716/2
Therefore the LCM of Fractions 31/28,324/58,867/726 is 1451358
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 28,58,726 . The biggest common factor number is the GCF number.
So the greatest common factor 28,58,726 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 31/28, 324/58, 867/726?
Answer: LCM of Numerators as per given numbers 31/28, 324/58, 867/726 is
LCM of Numerators i.e. for 31,324,867 is 2902716
GCF of denominators i.e. for 28,58,726 is 2.
Thus, LCM of Fractions is 1451358.Finally, LCM of Fractions for 31/28, 324/58, 867/726 is 1451358.