Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/739, 873/942, 394/781 quickly i.e. 36459972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/739, 873/942, 394/781 is 36459972.
LCM(636/739, 873/942, 394/781) = 36459972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/739,873/942,394/781
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 636,873,394
Least Common Multiple of Numerators i.e. LCM of 636,873,394 is 36459972.
GCF of Denominators means GCF of 739,942,781 as per the given fractions.
GCF of 739,942,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,873,394
2 | 636, 873, 394 |
3 | 318, 873, 197 |
106, 291, 197 |
∴ So the LCM of the given numbers is 2 x 3 x 106 x 291 x 197 = 36459972
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 636,873,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,873,394) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(636,873,394) x common factors =1 x 6 = 6
LCM(636,873,394) = ( 636 × 873 × 394 ) / 6
LCM(636,873,394) = 218759832 / 6
LCM(636,873,394) = 36459972
Lets's calculate GCF of 739,942,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36459972/1
Therefore the LCM of Fractions 636/739,873/942,394/781 is 36459972
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 739,942,781 . The biggest common factor number is the GCF number.
So the greatest common factor 739,942,781 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 636/739, 873/942, 394/781?
Answer: LCM of Numerators as per given numbers 636/739, 873/942, 394/781 is
LCM of Numerators i.e. for 636,873,394 is 36459972
GCF of denominators i.e. for 739,942,781 is 1.
Thus, LCM of Fractions is 36459972.Finally, LCM of Fractions for 636/739, 873/942, 394/781 is 36459972.