Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8283/123, 8444/541 quickly i.e. 69941652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8283/123, 8444/541 is 69941652.
LCM(8283/123, 8444/541) = 69941652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8283/123,8444/541
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 8283,8444
Least Common Multiple of Numerators i.e. LCM of 8283,8444 is 69941652.
GCF of Denominators means GCF of 123,541 as per the given fractions.
GCF of 123,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8283,8444
Given numbers has no common factors except 1. So, there LCM is their product i.e 69941652
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 8283,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8283,8444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8283,8444) x common factors =1 x 1 = 1
LCM(8283,8444) = ( 8283 × 8444 ) / 1
LCM(8283,8444) = 69941652 / 1
LCM(8283,8444) = 69941652
Lets's calculate GCF of 123,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69941652/1
Therefore the LCM of Fractions 8283/123,8444/541 is 69941652
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 123,541 . The biggest common factor number is the GCF number.
So the greatest common factor 123,541 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 8283/123, 8444/541?
Answer: LCM of Numerators as per given numbers 8283/123, 8444/541 is
LCM of Numerators i.e. for 8283,8444 is 69941652
GCF of denominators i.e. for 123,541 is 1.
Thus, LCM of Fractions is 69941652.Finally, LCM of Fractions for 8283/123, 8444/541 is 69941652.