Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4350/23, 6232/828 quickly i.e. 13554600/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4350/23, 6232/828 is 13554600/23.
LCM(4350/23, 6232/828) = 13554600/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4350/23,6232/828
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 4350,6232
Least Common Multiple of Numerators i.e. LCM of 4350,6232 is 13554600.
GCF of Denominators means GCF of 23,828 as per the given fractions.
GCF of 23,828 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4350,6232
2 | 4350, 6232 |
2175, 3116 |
∴ So the LCM of the given numbers is 2 x 2175 x 3116 = 13554600
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 4350,6232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4350,6232) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4350,6232) x common factors =2 x 1 = 2
LCM(4350,6232) = ( 4350 × 6232 ) / 2
LCM(4350,6232) = 27109200 / 2
LCM(4350,6232) = 13554600
Lets's calculate GCF of 23,828
23 | 23, 828 |
1, 36 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13554600/23
Therefore the LCM of Fractions 4350/23,6232/828 is 13554600/23
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 23,828 . The biggest common factor number is the GCF number.
So the greatest common factor 23,828 is 23.
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 4350/23, 6232/828?
Answer: LCM of Numerators as per given numbers 4350/23, 6232/828 is
LCM of Numerators i.e. for 4350,6232 is 13554600
GCF of denominators i.e. for 23,828 is 23.
Thus, LCM of Fractions is 13554600/23.Finally, LCM of Fractions for 4350/23, 6232/828 is 13554600/23.