Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/181, 42/208, 373/435 quickly i.e. 203658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/181, 42/208, 373/435 is 203658.
LCM(13/181, 42/208, 373/435) = 203658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/181,42/208,373/435
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 13,42,373
Least Common Multiple of Numerators i.e. LCM of 13,42,373 is 203658.
GCF of Denominators means GCF of 181,208,435 as per the given fractions.
GCF of 181,208,435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,42,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 203658
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 13,42,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,42,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,42,373) x common factors =1 x 1 = 1
LCM(13,42,373) = ( 13 × 42 × 373 ) / 1
LCM(13,42,373) = 203658 / 1
LCM(13,42,373) = 203658
Lets's calculate GCF of 181,208,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203658/1
Therefore the LCM of Fractions 13/181,42/208,373/435 is 203658
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 181,208,435 . The biggest common factor number is the GCF number.
So the greatest common factor 181,208,435 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 13/181, 42/208, 373/435?
Answer: LCM of Numerators as per given numbers 13/181, 42/208, 373/435 is
LCM of Numerators i.e. for 13,42,373 is 203658
GCF of denominators i.e. for 181,208,435 is 1.
Thus, LCM of Fractions is 203658.Finally, LCM of Fractions for 13/181, 42/208, 373/435 is 203658.