Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5630/300, 2313/756 quickly i.e. 13022190/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5630/300, 2313/756 is 13022190/12.
LCM(5630/300, 2313/756) = 13022190/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5630/300,2313/756
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 5630,2313
Least Common Multiple of Numerators i.e. LCM of 5630,2313 is 13022190.
GCF of Denominators means GCF of 300,756 as per the given fractions.
GCF of 300,756 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5630,2313
Given numbers has no common factors except 1. So, there LCM is their product i.e 13022190
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 5630,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5630,2313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5630,2313) x common factors =1 x 1 = 1
LCM(5630,2313) = ( 5630 × 2313 ) / 1
LCM(5630,2313) = 13022190 / 1
LCM(5630,2313) = 13022190
Lets's calculate GCF of 300,756
2 | 300, 756 |
2 | 150, 378 |
3 | 75, 189 |
25, 63 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13022190/12
Therefore the LCM of Fractions 5630/300,2313/756 is 13022190/12
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 300,756 . The biggest common factor number is the GCF number.
So the greatest common factor 300,756 is 12.
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 5630/300, 2313/756?
Answer: LCM of Numerators as per given numbers 5630/300, 2313/756 is
LCM of Numerators i.e. for 5630,2313 is 13022190
GCF of denominators i.e. for 300,756 is 12.
Thus, LCM of Fractions is 13022190/12.Finally, LCM of Fractions for 5630/300, 2313/756 is 13022190/12.