Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/571, 9958/4182 quickly i.e. 607438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/571, 9958/4182 is 607438.
LCM(122/571, 9958/4182) = 607438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/571,9958/4182
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 122,9958
Least Common Multiple of Numerators i.e. LCM of 122,9958 is 607438.
GCF of Denominators means GCF of 571,4182 as per the given fractions.
GCF of 571,4182 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,9958
2 | 122, 9958 |
61, 4979 |
∴ So the LCM of the given numbers is 2 x 61 x 4979 = 607438
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 122,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,9958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,9958) x common factors =2 x 1 = 2
LCM(122,9958) = ( 122 × 9958 ) / 2
LCM(122,9958) = 1214876 / 2
LCM(122,9958) = 607438
Lets's calculate GCF of 571,4182
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607438/1
Therefore the LCM of Fractions 122/571,9958/4182 is 607438
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 4182
List of positive integer factors of 4182 that divides 4182 without a remainder.
1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Greatest Common Factor
We found the factors 571,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 571,4182 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 122/571, 9958/4182?
Answer: LCM of Numerators as per given numbers 122/571, 9958/4182 is
LCM of Numerators i.e. for 122,9958 is 607438
GCF of denominators i.e. for 571,4182 is 1.
Thus, LCM of Fractions is 607438.Finally, LCM of Fractions for 122/571, 9958/4182 is 607438.