Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 487/992, 5728/178 quickly i.e. 1394768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 487/992, 5728/178 is 1394768.
LCM(487/992, 5728/178) = 1394768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 487/992,5728/178
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 487,5728
Least Common Multiple of Numerators i.e. LCM of 487,5728 is 2789536.
GCF of Denominators means GCF of 992,178 as per the given fractions.
GCF of 992,178 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 487,5728
Given numbers has no common factors except 1. So, there LCM is their product i.e 2789536
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 487,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,5728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,5728) x common factors =1 x 1 = 1
LCM(487,5728) = ( 487 × 5728 ) / 1
LCM(487,5728) = 2789536 / 1
LCM(487,5728) = 2789536
Lets's calculate GCF of 992,178
2 | 992, 178 |
496, 89 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2789536/2
Therefore the LCM of Fractions 487/992,5728/178 is 1394768
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 992,178 . The biggest common factor number is the GCF number.
So the greatest common factor 992,178 is 2.
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 487/992, 5728/178?
Answer: LCM of Numerators as per given numbers 487/992, 5728/178 is
LCM of Numerators i.e. for 487,5728 is 2789536
GCF of denominators i.e. for 992,178 is 2.
Thus, LCM of Fractions is 1394768.Finally, LCM of Fractions for 487/992, 5728/178 is 1394768.