Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7533/530, 1161/334 quickly i.e. 323919/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7533/530, 1161/334 is 323919/2.
LCM(7533/530, 1161/334) = 323919/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7533/530,1161/334
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 7533,1161
Least Common Multiple of Numerators i.e. LCM of 7533,1161 is 323919.
GCF of Denominators means GCF of 530,334 as per the given fractions.
GCF of 530,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7533,1161
3 | 7533, 1161 |
3 | 2511, 387 |
3 | 837, 129 |
279, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 279 x 43 = 323919
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 7533,1161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7533,1161) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(7533,1161) x common factors =27 x 1 = 27
LCM(7533,1161) = ( 7533 × 1161 ) / 27
LCM(7533,1161) = 8745813 / 27
LCM(7533,1161) = 323919
Lets's calculate GCF of 530,334
2 | 530, 334 |
265, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323919/2
Therefore the LCM of Fractions 7533/530,1161/334 is 323919/2
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 530,334 . The biggest common factor number is the GCF number.
So the greatest common factor 530,334 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 7533/530, 1161/334?
Answer: LCM of Numerators as per given numbers 7533/530, 1161/334 is
LCM of Numerators i.e. for 7533,1161 is 323919
GCF of denominators i.e. for 530,334 is 2.
Thus, LCM of Fractions is 323919/2.Finally, LCM of Fractions for 7533/530, 1161/334 is 323919/2.