Least Common Multiple of 5331/315, 5164/618
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5331/315, 5164/618 quickly i.e. 9176428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5331/315, 5164/618 is 9176428.
LCM(5331/315, 5164/618) = 9176428
LCM of 5331/315, 5164/618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5331/315,5164/618
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 5331,5164
Least Common Multiple of Numerators i.e. LCM of 5331,5164 is 27529284.
GCF of Denominators means GCF of 315,618 as per the given fractions.
GCF of 315,618 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5331,5164
LCM of Fractions 5331/315,5164/618 is 9176428
Given numbers has no common factors except 1. So, there LCM is their product i.e 27529284
Least Common Multiple of 5331,5164 with GCF Formula
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 5331,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5331,5164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5331,5164) x common factors =1 x 1 = 1
LCM(5331,5164) = ( 5331 × 5164 ) / 1
LCM(5331,5164) = 27529284 / 1
LCM(5331,5164) = 27529284
Lets's calculate GCF of 315,618
| 3 | 315, 618 |
| 105, 206 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27529284/3
Therefore the LCM of Fractions 5331/315,5164/618 is 9176428
