Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 436/54, 363/1609 quickly i.e. 158268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 436/54, 363/1609 is 158268.
LCM(436/54, 363/1609) = 158268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 436/54,363/1609
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 436,363
Least Common Multiple of Numerators i.e. LCM of 436,363 is 158268.
GCF of Denominators means GCF of 54,1609 as per the given fractions.
GCF of 54,1609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 436,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 158268
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 436,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,363) x common factors =1 x 1 = 1
LCM(436,363) = ( 436 × 363 ) / 1
LCM(436,363) = 158268 / 1
LCM(436,363) = 158268
Lets's calculate GCF of 54,1609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158268/1
Therefore the LCM of Fractions 436/54,363/1609 is 158268
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 1609
List of positive integer factors of 1609 that divides 1609 without a remainder.
1,1609
Greatest Common Factor
We found the factors 54,1609 . The biggest common factor number is the GCF number.
So the greatest common factor 54,1609 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 436/54, 363/1609?
Answer: LCM of Numerators as per given numbers 436/54, 363/1609 is
LCM of Numerators i.e. for 436,363 is 158268
GCF of denominators i.e. for 54,1609 is 1.
Thus, LCM of Fractions is 158268.Finally, LCM of Fractions for 436/54, 363/1609 is 158268.