Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/777, 195/59, 893/717 quickly i.e. 7139535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/777, 195/59, 893/717 is 7139535.
LCM(41/777, 195/59, 893/717) = 7139535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/777,195/59,893/717
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 41,195,893
Least Common Multiple of Numerators i.e. LCM of 41,195,893 is 7139535.
GCF of Denominators means GCF of 777,59,717 as per the given fractions.
GCF of 777,59,717 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,195,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 7139535
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 41,195,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,195,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,195,893) x common factors =1 x 1 = 1
LCM(41,195,893) = ( 41 × 195 × 893 ) / 1
LCM(41,195,893) = 7139535 / 1
LCM(41,195,893) = 7139535
Lets's calculate GCF of 777,59,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7139535/1
Therefore the LCM of Fractions 41/777,195/59,893/717 is 7139535
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Greatest Common Factor
We found the factors 777,59,717 . The biggest common factor number is the GCF number.
So the greatest common factor 777,59,717 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 41/777, 195/59, 893/717?
Answer: LCM of Numerators as per given numbers 41/777, 195/59, 893/717 is
LCM of Numerators i.e. for 41,195,893 is 7139535
GCF of denominators i.e. for 777,59,717 is 1.
Thus, LCM of Fractions is 7139535.Finally, LCM of Fractions for 41/777, 195/59, 893/717 is 7139535.