Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 448/183, 4273/8115 quickly i.e. 1914304/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 448/183, 4273/8115 is 1914304/3.
LCM(448/183, 4273/8115) = 1914304/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 448/183,4273/8115
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 448,4273
Least Common Multiple of Numerators i.e. LCM of 448,4273 is 1914304.
GCF of Denominators means GCF of 183,8115 as per the given fractions.
GCF of 183,8115 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 448,4273
Given numbers has no common factors except 1. So, there LCM is their product i.e 1914304
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 448,4273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,4273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,4273) x common factors =1 x 1 = 1
LCM(448,4273) = ( 448 × 4273 ) / 1
LCM(448,4273) = 1914304 / 1
LCM(448,4273) = 1914304
Lets's calculate GCF of 183,8115
3 | 183, 8115 |
61, 2705 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1914304/3
Therefore the LCM of Fractions 448/183,4273/8115 is 1914304/3
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors 183,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 183,8115 is 3.
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 448/183, 4273/8115?
Answer: LCM of Numerators as per given numbers 448/183, 4273/8115 is
LCM of Numerators i.e. for 448,4273 is 1914304
GCF of denominators i.e. for 183,8115 is 3.
Thus, LCM of Fractions is 1914304/3.Finally, LCM of Fractions for 448/183, 4273/8115 is 1914304/3.