Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 728/567, 716/772 quickly i.e. 130312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 728/567, 716/772 is 130312.
LCM(728/567, 716/772) = 130312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 728/567,716/772
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 728,716
Least Common Multiple of Numerators i.e. LCM of 728,716 is 130312.
GCF of Denominators means GCF of 567,772 as per the given fractions.
GCF of 567,772 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 728,716
2 | 728, 716 |
2 | 364, 358 |
182, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 182 x 179 = 130312
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 728,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(728,716) x common factors =4 x 1 = 4
LCM(728,716) = ( 728 × 716 ) / 4
LCM(728,716) = 521248 / 4
LCM(728,716) = 130312
Lets's calculate GCF of 567,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130312/1
Therefore the LCM of Fractions 728/567,716/772 is 130312
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 567,772 . The biggest common factor number is the GCF number.
So the greatest common factor 567,772 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 728/567, 716/772?
Answer: LCM of Numerators as per given numbers 728/567, 716/772 is
LCM of Numerators i.e. for 728,716 is 130312
GCF of denominators i.e. for 567,772 is 1.
Thus, LCM of Fractions is 130312.Finally, LCM of Fractions for 728/567, 716/772 is 130312.