Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/82, 644/39, 763/743 quickly i.e. 912548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/82, 644/39, 763/743 is 912548.
LCM(52/82, 644/39, 763/743) = 912548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/82,644/39,763/743
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 52,644,763
Least Common Multiple of Numerators i.e. LCM of 52,644,763 is 912548.
GCF of Denominators means GCF of 82,39,743 as per the given fractions.
GCF of 82,39,743 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,644,763
2 | 52, 644, 763 |
2 | 26, 322, 763 |
7 | 13, 161, 763 |
13, 23, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 23 x 109 = 912548
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 52,644,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,644,763) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(52,644,763) x common factors =1 x 28 = 28
LCM(52,644,763) = ( 52 × 644 × 763 ) / 28
LCM(52,644,763) = 25551344 / 28
LCM(52,644,763) = 912548
Lets's calculate GCF of 82,39,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912548/1
Therefore the LCM of Fractions 52/82,644/39,763/743 is 912548
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Greatest Common Factor
We found the factors 82,39,743 . The biggest common factor number is the GCF number.
So the greatest common factor 82,39,743 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 52/82, 644/39, 763/743?
Answer: LCM of Numerators as per given numbers 52/82, 644/39, 763/743 is
LCM of Numerators i.e. for 52,644,763 is 912548
GCF of denominators i.e. for 82,39,743 is 1.
Thus, LCM of Fractions is 912548.Finally, LCM of Fractions for 52/82, 644/39, 763/743 is 912548.