Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 507/180, 4452/992 quickly i.e. 188097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 507/180, 4452/992 is 188097.
LCM(507/180, 4452/992) = 188097
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 507/180,4452/992
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 507,4452
Least Common Multiple of Numerators i.e. LCM of 507,4452 is 752388.
GCF of Denominators means GCF of 180,992 as per the given fractions.
GCF of 180,992 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 507,4452
3 | 507, 4452 |
169, 1484 |
∴ So the LCM of the given numbers is 3 x 169 x 1484 = 752388
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 507,4452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,4452) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,4452) x common factors =3 x 1 = 3
LCM(507,4452) = ( 507 × 4452 ) / 3
LCM(507,4452) = 2257164 / 3
LCM(507,4452) = 752388
Lets's calculate GCF of 180,992
2 | 180, 992 |
2 | 90, 496 |
45, 248 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 752388/4
Therefore the LCM of Fractions 507/180,4452/992 is 188097
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
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
Greatest Common Factor
We found the factors 180,992 . The biggest common factor number is the GCF number.
So the greatest common factor 180,992 is 4.
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 507/180, 4452/992?
Answer: LCM of Numerators as per given numbers 507/180, 4452/992 is
LCM of Numerators i.e. for 507,4452 is 752388
GCF of denominators i.e. for 180,992 is 4.
Thus, LCM of Fractions is 188097.Finally, LCM of Fractions for 507/180, 4452/992 is 188097.