Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2443/352, 4483/6702 quickly i.e. 10951969/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2443/352, 4483/6702 is 10951969/2.
LCM(2443/352, 4483/6702) = 10951969/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2443/352,4483/6702
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 2443,4483
Least Common Multiple of Numerators i.e. LCM of 2443,4483 is 10951969.
GCF of Denominators means GCF of 352,6702 as per the given fractions.
GCF of 352,6702 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2443,4483
Given numbers has no common factors except 1. So, there LCM is their product i.e 10951969
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 2443,4483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2443,4483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2443,4483) x common factors =1 x 1 = 1
LCM(2443,4483) = ( 2443 × 4483 ) / 1
LCM(2443,4483) = 10951969 / 1
LCM(2443,4483) = 10951969
Lets's calculate GCF of 352,6702
2 | 352, 6702 |
176, 3351 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10951969/2
Therefore the LCM of Fractions 2443/352,4483/6702 is 10951969/2
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 6702
List of positive integer factors of 6702 that divides 6702 without a remainder.
1,2,3,6,1117,2234,3351,6702
Greatest Common Factor
We found the factors 352,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 352,6702 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 2443/352, 4483/6702?
Answer: LCM of Numerators as per given numbers 2443/352, 4483/6702 is
LCM of Numerators i.e. for 2443,4483 is 10951969
GCF of denominators i.e. for 352,6702 is 2.
Thus, LCM of Fractions is 10951969/2.Finally, LCM of Fractions for 2443/352, 4483/6702 is 10951969/2.