Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2571/264, 7395/5066 quickly i.e. 6337515/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2571/264, 7395/5066 is 6337515/2.
LCM(2571/264, 7395/5066) = 6337515/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2571/264,7395/5066
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 2571,7395
Least Common Multiple of Numerators i.e. LCM of 2571,7395 is 6337515.
GCF of Denominators means GCF of 264,5066 as per the given fractions.
GCF of 264,5066 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2571,7395
3 | 2571, 7395 |
857, 2465 |
∴ So the LCM of the given numbers is 3 x 857 x 2465 = 6337515
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 2571,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2571,7395) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2571,7395) x common factors =3 x 1 = 3
LCM(2571,7395) = ( 2571 × 7395 ) / 3
LCM(2571,7395) = 19012545 / 3
LCM(2571,7395) = 6337515
Lets's calculate GCF of 264,5066
2 | 264, 5066 |
132, 2533 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6337515/2
Therefore the LCM of Fractions 2571/264,7395/5066 is 6337515/2
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 5066
List of positive integer factors of 5066 that divides 5066 without a remainder.
1,2,17,34,149,298,2533,5066
Greatest Common Factor
We found the factors 264,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 264,5066 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 2571/264, 7395/5066?
Answer: LCM of Numerators as per given numbers 2571/264, 7395/5066 is
LCM of Numerators i.e. for 2571,7395 is 6337515
GCF of denominators i.e. for 264,5066 is 2.
Thus, LCM of Fractions is 6337515/2.Finally, LCM of Fractions for 2571/264, 7395/5066 is 6337515/2.