Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 123/215, 8806/4430 quickly i.e. 1083138/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 123/215, 8806/4430 is 1083138/5.
LCM(123/215, 8806/4430) = 1083138/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 123/215,8806/4430
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 123,8806
Least Common Multiple of Numerators i.e. LCM of 123,8806 is 1083138.
GCF of Denominators means GCF of 215,4430 as per the given fractions.
GCF of 215,4430 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 123,8806
Given numbers has no common factors except 1. So, there LCM is their product i.e 1083138
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 123,8806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,8806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,8806) x common factors =1 x 1 = 1
LCM(123,8806) = ( 123 × 8806 ) / 1
LCM(123,8806) = 1083138 / 1
LCM(123,8806) = 1083138
Lets's calculate GCF of 215,4430
5 | 215, 4430 |
43, 886 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1083138/5
Therefore the LCM of Fractions 123/215,8806/4430 is 1083138/5
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 4430
List of positive integer factors of 4430 that divides 4430 without a remainder.
1,2,5,10,443,886,2215,4430
Greatest Common Factor
We found the factors 215,4430 . The biggest common factor number is the GCF number.
So the greatest common factor 215,4430 is 5.
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 123/215, 8806/4430?
Answer: LCM of Numerators as per given numbers 123/215, 8806/4430 is
LCM of Numerators i.e. for 123,8806 is 1083138
GCF of denominators i.e. for 215,4430 is 5.
Thus, LCM of Fractions is 1083138/5.Finally, LCM of Fractions for 123/215, 8806/4430 is 1083138/5.