Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/99, 506/906 quickly i.e. 51106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/99, 506/906 is 51106.
LCM(303/99, 506/906) = 51106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/99,506/906
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 303,506
Least Common Multiple of Numerators i.e. LCM of 303,506 is 153318.
GCF of Denominators means GCF of 99,906 as per the given fractions.
GCF of 99,906 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 153318
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 303,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,506) x common factors =1 x 1 = 1
LCM(303,506) = ( 303 × 506 ) / 1
LCM(303,506) = 153318 / 1
LCM(303,506) = 153318
Lets's calculate GCF of 99,906
3 | 99, 906 |
33, 302 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153318/3
Therefore the LCM of Fractions 303/99,506/906 is 51106
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 99,906 . The biggest common factor number is the GCF number.
So the greatest common factor 99,906 is 3.
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 303/99, 506/906?
Answer: LCM of Numerators as per given numbers 303/99, 506/906 is
LCM of Numerators i.e. for 303,506 is 153318
GCF of denominators i.e. for 99,906 is 3.
Thus, LCM of Fractions is 51106.Finally, LCM of Fractions for 303/99, 506/906 is 51106.