Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 831/40, 292/3034 quickly i.e. 121326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 831/40, 292/3034 is 121326.
LCM(831/40, 292/3034) = 121326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 831/40,292/3034
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 831,292
Least Common Multiple of Numerators i.e. LCM of 831,292 is 242652.
GCF of Denominators means GCF of 40,3034 as per the given fractions.
GCF of 40,3034 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 831,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 242652
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 831,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,292) x common factors =1 x 1 = 1
LCM(831,292) = ( 831 × 292 ) / 1
LCM(831,292) = 242652 / 1
LCM(831,292) = 242652
Lets's calculate GCF of 40,3034
2 | 40, 3034 |
20, 1517 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242652/2
Therefore the LCM of Fractions 831/40,292/3034 is 121326
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1,2,37,41,74,82,1517,3034
Greatest Common Factor
We found the factors 40,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3034 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 831/40, 292/3034?
Answer: LCM of Numerators as per given numbers 831/40, 292/3034 is
LCM of Numerators i.e. for 831,292 is 242652
GCF of denominators i.e. for 40,3034 is 2.
Thus, LCM of Fractions is 121326.Finally, LCM of Fractions for 831/40, 292/3034 is 121326.