Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7155/564, 7517/3603 quickly i.e. 17928045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7155/564, 7517/3603 is 17928045.
LCM(7155/564, 7517/3603) = 17928045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7155/564,7517/3603
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 7155,7517
Least Common Multiple of Numerators i.e. LCM of 7155,7517 is 53784135.
GCF of Denominators means GCF of 564,3603 as per the given fractions.
GCF of 564,3603 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7155,7517
Given numbers has no common factors except 1. So, there LCM is their product i.e 53784135
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 7155,7517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7155,7517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7155,7517) x common factors =1 x 1 = 1
LCM(7155,7517) = ( 7155 × 7517 ) / 1
LCM(7155,7517) = 53784135 / 1
LCM(7155,7517) = 53784135
Lets's calculate GCF of 564,3603
3 | 564, 3603 |
188, 1201 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53784135/3
Therefore the LCM of Fractions 7155/564,7517/3603 is 17928045
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 3603
List of positive integer factors of 3603 that divides 3603 without a remainder.
1,3,1201,3603
Greatest Common Factor
We found the factors 564,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 564,3603 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 7155/564, 7517/3603?
Answer: LCM of Numerators as per given numbers 7155/564, 7517/3603 is
LCM of Numerators i.e. for 7155,7517 is 53784135
GCF of denominators i.e. for 564,3603 is 3.
Thus, LCM of Fractions is 17928045.Finally, LCM of Fractions for 7155/564, 7517/3603 is 17928045.