Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/10, 333/8090 quickly i.e. 31635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/10, 333/8090 is 31635.
LCM(950/10, 333/8090) = 31635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/10,333/8090
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 950,333
Least Common Multiple of Numerators i.e. LCM of 950,333 is 316350.
GCF of Denominators means GCF of 10,8090 as per the given fractions.
GCF of 10,8090 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 316350
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 950,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,333) x common factors =1 x 1 = 1
LCM(950,333) = ( 950 × 333 ) / 1
LCM(950,333) = 316350 / 1
LCM(950,333) = 316350
Lets's calculate GCF of 10,8090
2 | 10, 8090 |
5 | 5, 4045 |
1, 809 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316350/10
Therefore the LCM of Fractions 950/10,333/8090 is 31635
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1,2,5,10,809,1618,4045,8090
Greatest Common Factor
We found the factors 10,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 10,8090 is 10.
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 950/10, 333/8090?
Answer: LCM of Numerators as per given numbers 950/10, 333/8090 is
LCM of Numerators i.e. for 950,333 is 316350
GCF of denominators i.e. for 10,8090 is 10.
Thus, LCM of Fractions is 31635.Finally, LCM of Fractions for 950/10, 333/8090 is 31635.