Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 348/986, 4438/9439 quickly i.e. 772212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 348/986, 4438/9439 is 772212.
LCM(348/986, 4438/9439) = 772212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 348/986,4438/9439
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 348,4438
Least Common Multiple of Numerators i.e. LCM of 348,4438 is 772212.
GCF of Denominators means GCF of 986,9439 as per the given fractions.
GCF of 986,9439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 348,4438
2 | 348, 4438 |
174, 2219 |
∴ So the LCM of the given numbers is 2 x 174 x 2219 = 772212
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 348,4438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,4438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(348,4438) x common factors =2 x 1 = 2
LCM(348,4438) = ( 348 × 4438 ) / 2
LCM(348,4438) = 1544424 / 2
LCM(348,4438) = 772212
Lets's calculate GCF of 986,9439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 772212/1
Therefore the LCM of Fractions 348/986,4438/9439 is 772212
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 9439
List of positive integer factors of 9439 that divides 9439 without a remainder.
1,9439
Greatest Common Factor
We found the factors 986,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 986,9439 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 348/986, 4438/9439?
Answer: LCM of Numerators as per given numbers 348/986, 4438/9439 is
LCM of Numerators i.e. for 348,4438 is 772212
GCF of denominators i.e. for 986,9439 is 1.
Thus, LCM of Fractions is 772212.Finally, LCM of Fractions for 348/986, 4438/9439 is 772212.