Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8469/935, 4343/8459 quickly i.e. 36780867/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8469/935, 4343/8459 is 36780867/11.
LCM(8469/935, 4343/8459) = 36780867/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8469/935,4343/8459
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 8469,4343
Least Common Multiple of Numerators i.e. LCM of 8469,4343 is 36780867.
GCF of Denominators means GCF of 935,8459 as per the given fractions.
GCF of 935,8459 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8469,4343
Given numbers has no common factors except 1. So, there LCM is their product i.e 36780867
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 8469,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8469,4343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8469,4343) x common factors =1 x 1 = 1
LCM(8469,4343) = ( 8469 × 4343 ) / 1
LCM(8469,4343) = 36780867 / 1
LCM(8469,4343) = 36780867
Lets's calculate GCF of 935,8459
11 | 935, 8459 |
85, 769 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36780867/11
Therefore the LCM of Fractions 8469/935,4343/8459 is 36780867/11
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 8459
List of positive integer factors of 8459 that divides 8459 without a remainder.
1,11,769,8459
Greatest Common Factor
We found the factors 935,8459 . The biggest common factor number is the GCF number.
So the greatest common factor 935,8459 is 11.
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 8469/935, 4343/8459?
Answer: LCM of Numerators as per given numbers 8469/935, 4343/8459 is
LCM of Numerators i.e. for 8469,4343 is 36780867
GCF of denominators i.e. for 935,8459 is 11.
Thus, LCM of Fractions is 36780867/11.Finally, LCM of Fractions for 8469/935, 4343/8459 is 36780867/11.