Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/394, 341/650, 935/787 quickly i.e. 202895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/394, 341/650, 935/787 is 202895.
LCM(77/394, 341/650, 935/787) = 202895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/394,341/650,935/787
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 77,341,935
Least Common Multiple of Numerators i.e. LCM of 77,341,935 is 202895.
GCF of Denominators means GCF of 394,650,787 as per the given fractions.
GCF of 394,650,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,341,935
11 | 77, 341, 935 |
7, 31, 85 |
∴ So the LCM of the given numbers is 11 x 7 x 31 x 85 = 202895
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 77,341,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,341,935) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(77,341,935) x common factors =11 x 11 = 121
LCM(77,341,935) = ( 77 × 341 × 935 ) / 121
LCM(77,341,935) = 24550295 / 121
LCM(77,341,935) = 202895
Lets's calculate GCF of 394,650,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202895/1
Therefore the LCM of Fractions 77/394,341/650,935/787 is 202895
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 394,650,787 . The biggest common factor number is the GCF number.
So the greatest common factor 394,650,787 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 77/394, 341/650, 935/787?
Answer: LCM of Numerators as per given numbers 77/394, 341/650, 935/787 is
LCM of Numerators i.e. for 77,341,935 is 202895
GCF of denominators i.e. for 394,650,787 is 1.
Thus, LCM of Fractions is 202895.Finally, LCM of Fractions for 77/394, 341/650, 935/787 is 202895.