Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6471/949, 8013/181 quickly i.e. 17284041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6471/949, 8013/181 is 17284041.
LCM(6471/949, 8013/181) = 17284041
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6471/949,8013/181
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 6471,8013
Least Common Multiple of Numerators i.e. LCM of 6471,8013 is 17284041.
GCF of Denominators means GCF of 949,181 as per the given fractions.
GCF of 949,181 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6471,8013
3 | 6471, 8013 |
2157, 2671 |
∴ So the LCM of the given numbers is 3 x 2157 x 2671 = 17284041
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 6471,8013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6471,8013) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6471,8013) x common factors =3 x 1 = 3
LCM(6471,8013) = ( 6471 × 8013 ) / 3
LCM(6471,8013) = 51852123 / 3
LCM(6471,8013) = 17284041
Lets's calculate GCF of 949,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17284041/1
Therefore the LCM of Fractions 6471/949,8013/181 is 17284041
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 949,181 . The biggest common factor number is the GCF number.
So the greatest common factor 949,181 is 1.
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 6471/949, 8013/181?
Answer: LCM of Numerators as per given numbers 6471/949, 8013/181 is
LCM of Numerators i.e. for 6471,8013 is 17284041
GCF of denominators i.e. for 949,181 is 1.
Thus, LCM of Fractions is 17284041.Finally, LCM of Fractions for 6471/949, 8013/181 is 17284041.