Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/434, 938/269, 421/605 quickly i.e. 20929594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/434, 938/269, 421/605 is 20929594.
LCM(53/434, 938/269, 421/605) = 20929594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/434,938/269,421/605
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 53,938,421
Least Common Multiple of Numerators i.e. LCM of 53,938,421 is 20929594.
GCF of Denominators means GCF of 434,269,605 as per the given fractions.
GCF of 434,269,605 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,938,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 20929594
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 53,938,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,938,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,938,421) x common factors =1 x 1 = 1
LCM(53,938,421) = ( 53 × 938 × 421 ) / 1
LCM(53,938,421) = 20929594 / 1
LCM(53,938,421) = 20929594
Lets's calculate GCF of 434,269,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20929594/1
Therefore the LCM of Fractions 53/434,938/269,421/605 is 20929594
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 434,269,605 . The biggest common factor number is the GCF number.
So the greatest common factor 434,269,605 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 53/434, 938/269, 421/605?
Answer: LCM of Numerators as per given numbers 53/434, 938/269, 421/605 is
LCM of Numerators i.e. for 53,938,421 is 20929594
GCF of denominators i.e. for 434,269,605 is 1.
Thus, LCM of Fractions is 20929594.Finally, LCM of Fractions for 53/434, 938/269, 421/605 is 20929594.