Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/91, 441/13, 122/78 quickly i.e. 1667862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/91, 441/13, 122/78 is 1667862.
LCM(806/91, 441/13, 122/78) = 1667862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/91,441/13,122/78
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 806,441,122
Least Common Multiple of Numerators i.e. LCM of 806,441,122 is 21682206.
GCF of Denominators means GCF of 91,13,78 as per the given fractions.
GCF of 91,13,78 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,441,122
2 | 806, 441, 122 |
403, 441, 61 |
∴ So the LCM of the given numbers is 2 x 403 x 441 x 61 = 21682206
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 806,441,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,441,122) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(806,441,122) x common factors =1 x 2 = 2
LCM(806,441,122) = ( 806 × 441 × 122 ) / 2
LCM(806,441,122) = 43364412 / 2
LCM(806,441,122) = 21682206
Lets's calculate GCF of 91,13,78
13 | 91, 13, 78 |
7, 1, 6 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21682206/13
Therefore the LCM of Fractions 806/91,441/13,122/78 is 1667862
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 91,13,78 . The biggest common factor number is the GCF number.
So the greatest common factor 91,13,78 is 13.
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 806/91, 441/13, 122/78?
Answer: LCM of Numerators as per given numbers 806/91, 441/13, 122/78 is
LCM of Numerators i.e. for 806,441,122 is 21682206
GCF of denominators i.e. for 91,13,78 is 13.
Thus, LCM of Fractions is 1667862.Finally, LCM of Fractions for 806/91, 441/13, 122/78 is 1667862.