Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 905/986, 944/791, 913/356 quickly i.e. 779994160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 905/986, 944/791, 913/356 is 779994160.
LCM(905/986, 944/791, 913/356) = 779994160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 905/986,944/791,913/356
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 905,944,913
Least Common Multiple of Numerators i.e. LCM of 905,944,913 is 779994160.
GCF of Denominators means GCF of 986,791,356 as per the given fractions.
GCF of 986,791,356 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 905,944,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 779994160
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 905,944,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,944,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,944,913) x common factors =1 x 1 = 1
LCM(905,944,913) = ( 905 × 944 × 913 ) / 1
LCM(905,944,913) = 779994160 / 1
LCM(905,944,913) = 779994160
Lets's calculate GCF of 986,791,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779994160/1
Therefore the LCM of Fractions 905/986,944/791,913/356 is 779994160
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 986,791,356 . The biggest common factor number is the GCF number.
So the greatest common factor 986,791,356 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 905/986, 944/791, 913/356?
Answer: LCM of Numerators as per given numbers 905/986, 944/791, 913/356 is
LCM of Numerators i.e. for 905,944,913 is 779994160
GCF of denominators i.e. for 986,791,356 is 1.
Thus, LCM of Fractions is 779994160.Finally, LCM of Fractions for 905/986, 944/791, 913/356 is 779994160.