Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/72, 737/26, 532/771 quickly i.e. 9017932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/72, 737/26, 532/771 is 9017932.
LCM(46/72, 737/26, 532/771) = 9017932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/72,737/26,532/771
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 46,737,532
Least Common Multiple of Numerators i.e. LCM of 46,737,532 is 9017932.
GCF of Denominators means GCF of 72,26,771 as per the given fractions.
GCF of 72,26,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,737,532
2 | 46, 737, 532 |
23, 737, 266 |
∴ So the LCM of the given numbers is 2 x 23 x 737 x 266 = 9017932
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 46,737,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,737,532) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,737,532) x common factors =1 x 2 = 2
LCM(46,737,532) = ( 46 × 737 × 532 ) / 2
LCM(46,737,532) = 18035864 / 2
LCM(46,737,532) = 9017932
Lets's calculate GCF of 72,26,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9017932/1
Therefore the LCM of Fractions 46/72,737/26,532/771 is 9017932
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 72,26,771 . The biggest common factor number is the GCF number.
So the greatest common factor 72,26,771 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 46/72, 737/26, 532/771?
Answer: LCM of Numerators as per given numbers 46/72, 737/26, 532/771 is
LCM of Numerators i.e. for 46,737,532 is 9017932
GCF of denominators i.e. for 72,26,771 is 1.
Thus, LCM of Fractions is 9017932.Finally, LCM of Fractions for 46/72, 737/26, 532/771 is 9017932.