Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4423/530, 1446/6602 quickly i.e. 3197829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4423/530, 1446/6602 is 3197829.
LCM(4423/530, 1446/6602) = 3197829
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4423/530,1446/6602
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 4423,1446
Least Common Multiple of Numerators i.e. LCM of 4423,1446 is 6395658.
GCF of Denominators means GCF of 530,6602 as per the given fractions.
GCF of 530,6602 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4423,1446
Given numbers has no common factors except 1. So, there LCM is their product i.e 6395658
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 4423,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4423,1446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4423,1446) x common factors =1 x 1 = 1
LCM(4423,1446) = ( 4423 × 1446 ) / 1
LCM(4423,1446) = 6395658 / 1
LCM(4423,1446) = 6395658
Lets's calculate GCF of 530,6602
2 | 530, 6602 |
265, 3301 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6395658/2
Therefore the LCM of Fractions 4423/530,1446/6602 is 3197829
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 6602
List of positive integer factors of 6602 that divides 6602 without a remainder.
1,2,3301,6602
Greatest Common Factor
We found the factors 530,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 530,6602 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 4423/530, 1446/6602?
Answer: LCM of Numerators as per given numbers 4423/530, 1446/6602 is
LCM of Numerators i.e. for 4423,1446 is 6395658
GCF of denominators i.e. for 530,6602 is 2.
Thus, LCM of Fractions is 3197829.Finally, LCM of Fractions for 4423/530, 1446/6602 is 3197829.