Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/94, 965/82, 968/806 quickly i.e. 92010820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/94, 965/82, 968/806 is 92010820.
LCM(788/94, 965/82, 968/806) = 92010820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/94,965/82,968/806
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 788,965,968
Least Common Multiple of Numerators i.e. LCM of 788,965,968 is 184021640.
GCF of Denominators means GCF of 94,82,806 as per the given fractions.
GCF of 94,82,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,965,968
2 | 788, 965, 968 |
2 | 394, 965, 484 |
197, 965, 242 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 965 x 242 = 184021640
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 788,965,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,965,968) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(788,965,968) x common factors =1 x 4 = 4
LCM(788,965,968) = ( 788 × 965 × 968 ) / 4
LCM(788,965,968) = 736086560 / 4
LCM(788,965,968) = 184021640
Lets's calculate GCF of 94,82,806
2 | 94, 82, 806 |
47, 41, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184021640/2
Therefore the LCM of Fractions 788/94,965/82,968/806 is 92010820
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 94,82,806 . The biggest common factor number is the GCF number.
So the greatest common factor 94,82,806 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 788/94, 965/82, 968/806?
Answer: LCM of Numerators as per given numbers 788/94, 965/82, 968/806 is
LCM of Numerators i.e. for 788,965,968 is 184021640
GCF of denominators i.e. for 94,82,806 is 2.
Thus, LCM of Fractions is 92010820.Finally, LCM of Fractions for 788/94, 965/82, 968/806 is 92010820.