Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 228/824, 2582/209 quickly i.e. 294348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 228/824, 2582/209 is 294348.
LCM(228/824, 2582/209) = 294348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 228/824,2582/209
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 228,2582
Least Common Multiple of Numerators i.e. LCM of 228,2582 is 294348.
GCF of Denominators means GCF of 824,209 as per the given fractions.
GCF of 824,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 228,2582
2 | 228, 2582 |
114, 1291 |
∴ So the LCM of the given numbers is 2 x 114 x 1291 = 294348
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 228,2582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2582) x common factors =2 x 1 = 2
LCM(228,2582) = ( 228 × 2582 ) / 2
LCM(228,2582) = 588696 / 2
LCM(228,2582) = 294348
Lets's calculate GCF of 824,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294348/1
Therefore the LCM of Fractions 228/824,2582/209 is 294348
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 824,209 . The biggest common factor number is the GCF number.
So the greatest common factor 824,209 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 228/824, 2582/209?
Answer: LCM of Numerators as per given numbers 228/824, 2582/209 is
LCM of Numerators i.e. for 228,2582 is 294348
GCF of denominators i.e. for 824,209 is 1.
Thus, LCM of Fractions is 294348.Finally, LCM of Fractions for 228/824, 2582/209 is 294348.