Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/91, 135/31, 585/996 quickly i.e. 214110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/91, 135/31, 585/996 is 214110.
LCM(122/91, 135/31, 585/996) = 214110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/91,135/31,585/996
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 122,135,585
Least Common Multiple of Numerators i.e. LCM of 122,135,585 is 214110.
GCF of Denominators means GCF of 91,31,996 as per the given fractions.
GCF of 91,31,996 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,135,585
3 | 122, 135, 585 |
3 | 122, 45, 195 |
5 | 122, 15, 65 |
122, 3, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 122 x 3 x 13 = 214110
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 122,135,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,135,585) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(122,135,585) x common factors =1 x 45 = 45
LCM(122,135,585) = ( 122 × 135 × 585 ) / 45
LCM(122,135,585) = 9634950 / 45
LCM(122,135,585) = 214110
Lets's calculate GCF of 91,31,996
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214110/1
Therefore the LCM of Fractions 122/91,135/31,585/996 is 214110
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 91,31,996 . The biggest common factor number is the GCF number.
So the greatest common factor 91,31,996 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 122/91, 135/31, 585/996?
Answer: LCM of Numerators as per given numbers 122/91, 135/31, 585/996 is
LCM of Numerators i.e. for 122,135,585 is 214110
GCF of denominators i.e. for 91,31,996 is 1.
Thus, LCM of Fractions is 214110.Finally, LCM of Fractions for 122/91, 135/31, 585/996 is 214110.