Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/695, 82/366, 778/805 quickly i.e. 2966514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/695, 82/366, 778/805 is 2966514.
LCM(93/695, 82/366, 778/805) = 2966514
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/695,82/366,778/805
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 93,82,778
Least Common Multiple of Numerators i.e. LCM of 93,82,778 is 2966514.
GCF of Denominators means GCF of 695,366,805 as per the given fractions.
GCF of 695,366,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,82,778
2 | 93, 82, 778 |
93, 41, 389 |
∴ So the LCM of the given numbers is 2 x 93 x 41 x 389 = 2966514
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 93,82,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,82,778) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(93,82,778) x common factors =1 x 2 = 2
LCM(93,82,778) = ( 93 × 82 × 778 ) / 2
LCM(93,82,778) = 5933028 / 2
LCM(93,82,778) = 2966514
Lets's calculate GCF of 695,366,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2966514/1
Therefore the LCM of Fractions 93/695,82/366,778/805 is 2966514
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 695,366,805 . The biggest common factor number is the GCF number.
So the greatest common factor 695,366,805 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 93/695, 82/366, 778/805?
Answer: LCM of Numerators as per given numbers 93/695, 82/366, 778/805 is
LCM of Numerators i.e. for 93,82,778 is 2966514
GCF of denominators i.e. for 695,366,805 is 1.
Thus, LCM of Fractions is 2966514.Finally, LCM of Fractions for 93/695, 82/366, 778/805 is 2966514.