Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 889/502, 704/961, 829/563 quickly i.e. 518834624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 889/502, 704/961, 829/563 is 518834624.
LCM(889/502, 704/961, 829/563) = 518834624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 889/502,704/961,829/563
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 889,704,829
Least Common Multiple of Numerators i.e. LCM of 889,704,829 is 518834624.
GCF of Denominators means GCF of 502,961,563 as per the given fractions.
GCF of 502,961,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 889,704,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 518834624
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 889,704,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,704,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,704,829) x common factors =1 x 1 = 1
LCM(889,704,829) = ( 889 × 704 × 829 ) / 1
LCM(889,704,829) = 518834624 / 1
LCM(889,704,829) = 518834624
Lets's calculate GCF of 502,961,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518834624/1
Therefore the LCM of Fractions 889/502,704/961,829/563 is 518834624
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 502,961,563 . The biggest common factor number is the GCF number.
So the greatest common factor 502,961,563 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 889/502, 704/961, 829/563?
Answer: LCM of Numerators as per given numbers 889/502, 704/961, 829/563 is
LCM of Numerators i.e. for 889,704,829 is 518834624
GCF of denominators i.e. for 502,961,563 is 1.
Thus, LCM of Fractions is 518834624.Finally, LCM of Fractions for 889/502, 704/961, 829/563 is 518834624.