Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/651, 717/663, 171/939 quickly i.e. 68115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/651, 717/663, 171/939 is 68115.
LCM(45/651, 717/663, 171/939) = 68115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/651,717/663,171/939
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 45,717,171
Least Common Multiple of Numerators i.e. LCM of 45,717,171 is 204345.
GCF of Denominators means GCF of 651,663,939 as per the given fractions.
GCF of 651,663,939 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,717,171
3 | 45, 717, 171 |
3 | 15, 239, 57 |
5, 239, 19 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 239 x 19 = 204345
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 45,717,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,717,171) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(45,717,171) x common factors =3 x 9 = 27
LCM(45,717,171) = ( 45 × 717 × 171 ) / 27
LCM(45,717,171) = 5517315 / 27
LCM(45,717,171) = 204345
Lets's calculate GCF of 651,663,939
3 | 651, 663, 939 |
217, 221, 313 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204345/3
Therefore the LCM of Fractions 45/651,717/663,171/939 is 68115
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 651,663,939 . The biggest common factor number is the GCF number.
So the greatest common factor 651,663,939 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 45/651, 717/663, 171/939?
Answer: LCM of Numerators as per given numbers 45/651, 717/663, 171/939 is
LCM of Numerators i.e. for 45,717,171 is 204345
GCF of denominators i.e. for 651,663,939 is 3.
Thus, LCM of Fractions is 68115.Finally, LCM of Fractions for 45/651, 717/663, 171/939 is 68115.