Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/129, 52/288, 877/516 quickly i.e. 501644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/129, 52/288, 877/516 is 501644.
LCM(66/129, 52/288, 877/516) = 501644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/129,52/288,877/516
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 66,52,877
Least Common Multiple of Numerators i.e. LCM of 66,52,877 is 1504932.
GCF of Denominators means GCF of 129,288,516 as per the given fractions.
GCF of 129,288,516 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,52,877
2 | 66, 52, 877 |
33, 26, 877 |
∴ So the LCM of the given numbers is 2 x 33 x 26 x 877 = 1504932
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 66,52,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,52,877) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,52,877) x common factors =1 x 2 = 2
LCM(66,52,877) = ( 66 × 52 × 877 ) / 2
LCM(66,52,877) = 3009864 / 2
LCM(66,52,877) = 1504932
Lets's calculate GCF of 129,288,516
3 | 129, 288, 516 |
43, 96, 172 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1504932/3
Therefore the LCM of Fractions 66/129,52/288,877/516 is 501644
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 129,288,516 . The biggest common factor number is the GCF number.
So the greatest common factor 129,288,516 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 66/129, 52/288, 877/516?
Answer: LCM of Numerators as per given numbers 66/129, 52/288, 877/516 is
LCM of Numerators i.e. for 66,52,877 is 1504932
GCF of denominators i.e. for 129,288,516 is 3.
Thus, LCM of Fractions is 501644.Finally, LCM of Fractions for 66/129, 52/288, 877/516 is 501644.