Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1013/620, 3963/1824 quickly i.e. 4014519/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1013/620, 3963/1824 is 4014519/4.
LCM(1013/620, 3963/1824) = 4014519/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1013/620,3963/1824
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 1013,3963
Least Common Multiple of Numerators i.e. LCM of 1013,3963 is 4014519.
GCF of Denominators means GCF of 620,1824 as per the given fractions.
GCF of 620,1824 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1013,3963
Given numbers has no common factors except 1. So, there LCM is their product i.e 4014519
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 1013,3963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1013,3963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1013,3963) x common factors =1 x 1 = 1
LCM(1013,3963) = ( 1013 × 3963 ) / 1
LCM(1013,3963) = 4014519 / 1
LCM(1013,3963) = 4014519
Lets's calculate GCF of 620,1824
2 | 620, 1824 |
2 | 310, 912 |
155, 456 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4014519/4
Therefore the LCM of Fractions 1013/620,3963/1824 is 4014519/4
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 1824
List of positive integer factors of 1824 that divides 1824 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 620,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 620,1824 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 1013/620, 3963/1824?
Answer: LCM of Numerators as per given numbers 1013/620, 3963/1824 is
LCM of Numerators i.e. for 1013,3963 is 4014519
GCF of denominators i.e. for 620,1824 is 4.
Thus, LCM of Fractions is 4014519/4.Finally, LCM of Fractions for 1013/620, 3963/1824 is 4014519/4.