Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 426/36, 193/2351 quickly i.e. 82218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 426/36, 193/2351 is 82218.
LCM(426/36, 193/2351) = 82218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 426/36,193/2351
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 426,193
Least Common Multiple of Numerators i.e. LCM of 426,193 is 82218.
GCF of Denominators means GCF of 36,2351 as per the given fractions.
GCF of 36,2351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 426,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 82218
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 426,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,193) x common factors =1 x 1 = 1
LCM(426,193) = ( 426 × 193 ) / 1
LCM(426,193) = 82218 / 1
LCM(426,193) = 82218
Lets's calculate GCF of 36,2351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82218/1
Therefore the LCM of Fractions 426/36,193/2351 is 82218
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 2351
List of positive integer factors of 2351 that divides 2351 without a remainder.
1,2351
Greatest Common Factor
We found the factors 36,2351 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2351 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 426/36, 193/2351?
Answer: LCM of Numerators as per given numbers 426/36, 193/2351 is
LCM of Numerators i.e. for 426,193 is 82218
GCF of denominators i.e. for 36,2351 is 1.
Thus, LCM of Fractions is 82218.Finally, LCM of Fractions for 426/36, 193/2351 is 82218.