Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3303/669, 6221/6690 quickly i.e. 20547963/669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3303/669, 6221/6690 is 20547963/669.
LCM(3303/669, 6221/6690) = 20547963/669
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3303/669,6221/6690
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 3303,6221
Least Common Multiple of Numerators i.e. LCM of 3303,6221 is 20547963.
GCF of Denominators means GCF of 669,6690 as per the given fractions.
GCF of 669,6690 is 669 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3303,6221
Given numbers has no common factors except 1. So, there LCM is their product i.e 20547963
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 3303,6221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3303,6221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3303,6221) x common factors =1 x 1 = 1
LCM(3303,6221) = ( 3303 × 6221 ) / 1
LCM(3303,6221) = 20547963 / 1
LCM(3303,6221) = 20547963
Lets's calculate GCF of 669,6690
3 | 669, 6690 |
223 | 223, 2230 |
1, 10 |
∴ So the GCF of the given numbers is 3 x 223 = 669
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20547963/669
Therefore the LCM of Fractions 3303/669,6221/6690 is 20547963/669
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 6690
List of positive integer factors of 6690 that divides 6690 without a remainder.
1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Greatest Common Factor
We found the factors 669,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 669,6690 is 669.
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 3303/669, 6221/6690?
Answer: LCM of Numerators as per given numbers 3303/669, 6221/6690 is
LCM of Numerators i.e. for 3303,6221 is 20547963
GCF of denominators i.e. for 669,6690 is 669.
Thus, LCM of Fractions is 20547963/669.Finally, LCM of Fractions for 3303/669, 6221/6690 is 20547963/669.