Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/235, 363/441, 218/409 quickly i.e. 1820082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/235, 363/441, 218/409 is 1820082.
LCM(23/235, 363/441, 218/409) = 1820082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/235,363/441,218/409
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 23,363,218
Least Common Multiple of Numerators i.e. LCM of 23,363,218 is 1820082.
GCF of Denominators means GCF of 235,441,409 as per the given fractions.
GCF of 235,441,409 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,363,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 1820082
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 23,363,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,363,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,363,218) x common factors =1 x 1 = 1
LCM(23,363,218) = ( 23 × 363 × 218 ) / 1
LCM(23,363,218) = 1820082 / 1
LCM(23,363,218) = 1820082
Lets's calculate GCF of 235,441,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1820082/1
Therefore the LCM of Fractions 23/235,363/441,218/409 is 1820082
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 235,441,409 . The biggest common factor number is the GCF number.
So the greatest common factor 235,441,409 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 23/235, 363/441, 218/409?
Answer: LCM of Numerators as per given numbers 23/235, 363/441, 218/409 is
LCM of Numerators i.e. for 23,363,218 is 1820082
GCF of denominators i.e. for 235,441,409 is 1.
Thus, LCM of Fractions is 1820082.Finally, LCM of Fractions for 23/235, 363/441, 218/409 is 1820082.