Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 291/58, 522/6292 quickly i.e. 25317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 291/58, 522/6292 is 25317.
LCM(291/58, 522/6292) = 25317
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 291/58,522/6292
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 291,522
Least Common Multiple of Numerators i.e. LCM of 291,522 is 50634.
GCF of Denominators means GCF of 58,6292 as per the given fractions.
GCF of 58,6292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 291,522
3 | 291, 522 |
97, 174 |
∴ So the LCM of the given numbers is 3 x 97 x 174 = 50634
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 291,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,522) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,522) x common factors =3 x 1 = 3
LCM(291,522) = ( 291 × 522 ) / 3
LCM(291,522) = 151902 / 3
LCM(291,522) = 50634
Lets's calculate GCF of 58,6292
2 | 58, 6292 |
29, 3146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50634/2
Therefore the LCM of Fractions 291/58,522/6292 is 25317
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 6292
List of positive integer factors of 6292 that divides 6292 without a remainder.
1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Greatest Common Factor
We found the factors 58,6292 . The biggest common factor number is the GCF number.
So the greatest common factor 58,6292 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 291/58, 522/6292?
Answer: LCM of Numerators as per given numbers 291/58, 522/6292 is
LCM of Numerators i.e. for 291,522 is 50634
GCF of denominators i.e. for 58,6292 is 2.
Thus, LCM of Fractions is 25317.Finally, LCM of Fractions for 291/58, 522/6292 is 25317.