Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1314/463, 6620/5741 quickly i.e. 4349340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1314/463, 6620/5741 is 4349340.
LCM(1314/463, 6620/5741) = 4349340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1314/463,6620/5741
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 1314,6620
Least Common Multiple of Numerators i.e. LCM of 1314,6620 is 4349340.
GCF of Denominators means GCF of 463,5741 as per the given fractions.
GCF of 463,5741 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1314,6620
2 | 1314, 6620 |
657, 3310 |
∴ So the LCM of the given numbers is 2 x 657 x 3310 = 4349340
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 1314,6620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1314,6620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1314,6620) x common factors =2 x 1 = 2
LCM(1314,6620) = ( 1314 × 6620 ) / 2
LCM(1314,6620) = 8698680 / 2
LCM(1314,6620) = 4349340
Lets's calculate GCF of 463,5741
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4349340/1
Therefore the LCM of Fractions 1314/463,6620/5741 is 4349340
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 5741
List of positive integer factors of 5741 that divides 5741 without a remainder.
1,5741
Greatest Common Factor
We found the factors 463,5741 . The biggest common factor number is the GCF number.
So the greatest common factor 463,5741 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 1314/463, 6620/5741?
Answer: LCM of Numerators as per given numbers 1314/463, 6620/5741 is
LCM of Numerators i.e. for 1314,6620 is 4349340
GCF of denominators i.e. for 463,5741 is 1.
Thus, LCM of Fractions is 4349340.Finally, LCM of Fractions for 1314/463, 6620/5741 is 4349340.