Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2789/514, 4117/446 quickly i.e. 11482313/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2789/514, 4117/446 is 11482313/2.
LCM(2789/514, 4117/446) = 11482313/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2789/514,4117/446
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 2789,4117
Least Common Multiple of Numerators i.e. LCM of 2789,4117 is 11482313.
GCF of Denominators means GCF of 514,446 as per the given fractions.
GCF of 514,446 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2789,4117
Given numbers has no common factors except 1. So, there LCM is their product i.e 11482313
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 2789,4117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2789,4117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2789,4117) x common factors =1 x 1 = 1
LCM(2789,4117) = ( 2789 × 4117 ) / 1
LCM(2789,4117) = 11482313 / 1
LCM(2789,4117) = 11482313
Lets's calculate GCF of 514,446
2 | 514, 446 |
257, 223 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11482313/2
Therefore the LCM of Fractions 2789/514,4117/446 is 11482313/2
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 514,446 . The biggest common factor number is the GCF number.
So the greatest common factor 514,446 is 2.
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 2789/514, 4117/446?
Answer: LCM of Numerators as per given numbers 2789/514, 4117/446 is
LCM of Numerators i.e. for 2789,4117 is 11482313
GCF of denominators i.e. for 514,446 is 2.
Thus, LCM of Fractions is 11482313/2.Finally, LCM of Fractions for 2789/514, 4117/446 is 11482313/2.