Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/228, 2255/8384 quickly i.e. 209715/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/228, 2255/8384 is 209715/4.
LCM(93/228, 2255/8384) = 209715/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/228,2255/8384
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 93,2255
Least Common Multiple of Numerators i.e. LCM of 93,2255 is 209715.
GCF of Denominators means GCF of 228,8384 as per the given fractions.
GCF of 228,8384 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,2255
Given numbers has no common factors except 1. So, there LCM is their product i.e 209715
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 93,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,2255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,2255) x common factors =1 x 1 = 1
LCM(93,2255) = ( 93 × 2255 ) / 1
LCM(93,2255) = 209715 / 1
LCM(93,2255) = 209715
Lets's calculate GCF of 228,8384
2 | 228, 8384 |
2 | 114, 4192 |
57, 2096 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209715/4
Therefore the LCM of Fractions 93/228,2255/8384 is 209715/4
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 8384
List of positive integer factors of 8384 that divides 8384 without a remainder.
1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Greatest Common Factor
We found the factors 228,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 228,8384 is 4.
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 93/228, 2255/8384?
Answer: LCM of Numerators as per given numbers 93/228, 2255/8384 is
LCM of Numerators i.e. for 93,2255 is 209715
GCF of denominators i.e. for 228,8384 is 4.
Thus, LCM of Fractions is 209715/4.Finally, LCM of Fractions for 93/228, 2255/8384 is 209715/4.