Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/81, 662/85, 400/394 quickly i.e. 103139600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/81, 662/85, 400/394 is 103139600.
LCM(779/81, 662/85, 400/394) = 103139600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/81,662/85,400/394
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 779,662,400
Least Common Multiple of Numerators i.e. LCM of 779,662,400 is 103139600.
GCF of Denominators means GCF of 81,85,394 as per the given fractions.
GCF of 81,85,394 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,662,400
2 | 779, 662, 400 |
779, 331, 200 |
∴ So the LCM of the given numbers is 2 x 779 x 331 x 200 = 103139600
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 779,662,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,662,400) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(779,662,400) x common factors =1 x 2 = 2
LCM(779,662,400) = ( 779 × 662 × 400 ) / 2
LCM(779,662,400) = 206279200 / 2
LCM(779,662,400) = 103139600
Lets's calculate GCF of 81,85,394
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103139600/1
Therefore the LCM of Fractions 779/81,662/85,400/394 is 103139600
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Greatest Common Factor
We found the factors 81,85,394 . The biggest common factor number is the GCF number.
So the greatest common factor 81,85,394 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 779/81, 662/85, 400/394?
Answer: LCM of Numerators as per given numbers 779/81, 662/85, 400/394 is
LCM of Numerators i.e. for 779,662,400 is 103139600
GCF of denominators i.e. for 81,85,394 is 1.
Thus, LCM of Fractions is 103139600.Finally, LCM of Fractions for 779/81, 662/85, 400/394 is 103139600.