Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/18, 91/55, 55/16, 36/212 quickly i.e. 3423420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/18, 91/55, 55/16, 36/212 is 3423420.
LCM(19/18, 91/55, 55/16, 36/212) = 3423420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/18,91/55,55/16,36/212
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 19,91,55,36
Least Common Multiple of Numerators i.e. LCM of 19,91,55,36 is 3423420.
GCF of Denominators means GCF of 18,55,16,212 as per the given fractions.
GCF of 18,55,16,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,91,55,36
Given numbers has no common factors except 1. So, there LCM is their product i.e 3423420
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 19,91,55,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,91,55,36) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,91,55,36) x common factors =1 x 1 = 1
LCM(19,91,55,36) = ( 19 × 91 × 55 × 36 ) / 1
LCM(19,91,55,36) = 3423420 / 1
LCM(19,91,55,36) = 3423420
Lets's calculate GCF of 18,55,16,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3423420/1
Therefore the LCM of Fractions 19/18,91/55,55/16,36/212 is 3423420
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 18,55,16,212 . The biggest common factor number is the GCF number.
So the greatest common factor 18,55,16,212 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 19/18, 91/55, 55/16, 36/212?
Answer: LCM of Numerators as per given numbers 19/18, 91/55, 55/16, 36/212 is
LCM of Numerators i.e. for 19,91,55,36 is 3423420
GCF of denominators i.e. for 18,55,16,212 is 1.
Thus, LCM of Fractions is 3423420.Finally, LCM of Fractions for 19/18, 91/55, 55/16, 36/212 is 3423420.