Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 129/58, 884/39, 759/830 quickly i.e. 28851108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 129/58, 884/39, 759/830 is 28851108.
LCM(129/58, 884/39, 759/830) = 28851108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 129/58,884/39,759/830
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 129,884,759
Least Common Multiple of Numerators i.e. LCM of 129,884,759 is 28851108.
GCF of Denominators means GCF of 58,39,830 as per the given fractions.
GCF of 58,39,830 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 129,884,759
3 | 129, 884, 759 |
43, 884, 253 |
∴ So the LCM of the given numbers is 3 x 43 x 884 x 253 = 28851108
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 129,884,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,884,759) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(129,884,759) x common factors =1 x 3 = 3
LCM(129,884,759) = ( 129 × 884 × 759 ) / 3
LCM(129,884,759) = 86553324 / 3
LCM(129,884,759) = 28851108
Lets's calculate GCF of 58,39,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28851108/1
Therefore the LCM of Fractions 129/58,884/39,759/830 is 28851108
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 58,39,830 . The biggest common factor number is the GCF number.
So the greatest common factor 58,39,830 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 129/58, 884/39, 759/830?
Answer: LCM of Numerators as per given numbers 129/58, 884/39, 759/830 is
LCM of Numerators i.e. for 129,884,759 is 28851108
GCF of denominators i.e. for 58,39,830 is 1.
Thus, LCM of Fractions is 28851108.Finally, LCM of Fractions for 129/58, 884/39, 759/830 is 28851108.