Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/711, 41/828, 777/598 quickly i.e. 1210566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/711, 41/828, 777/598 is 1210566.
LCM(38/711, 41/828, 777/598) = 1210566
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/711,41/828,777/598
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 38,41,777
Least Common Multiple of Numerators i.e. LCM of 38,41,777 is 1210566.
GCF of Denominators means GCF of 711,828,598 as per the given fractions.
GCF of 711,828,598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,41,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 1210566
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 38,41,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,41,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,41,777) x common factors =1 x 1 = 1
LCM(38,41,777) = ( 38 × 41 × 777 ) / 1
LCM(38,41,777) = 1210566 / 1
LCM(38,41,777) = 1210566
Lets's calculate GCF of 711,828,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210566/1
Therefore the LCM of Fractions 38/711,41/828,777/598 is 1210566
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 711,828,598 . The biggest common factor number is the GCF number.
So the greatest common factor 711,828,598 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 38/711, 41/828, 777/598?
Answer: LCM of Numerators as per given numbers 38/711, 41/828, 777/598 is
LCM of Numerators i.e. for 38,41,777 is 1210566
GCF of denominators i.e. for 711,828,598 is 1.
Thus, LCM of Fractions is 1210566.Finally, LCM of Fractions for 38/711, 41/828, 777/598 is 1210566.