Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/853, 438/545, 249/596 quickly i.e. 363540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/853, 438/545, 249/596 is 363540.
LCM(20/853, 438/545, 249/596) = 363540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/853,438/545,249/596
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 20,438,249
Least Common Multiple of Numerators i.e. LCM of 20,438,249 is 363540.
GCF of Denominators means GCF of 853,545,596 as per the given fractions.
GCF of 853,545,596 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,438,249
2 | 20, 438, 249 |
3 | 10, 219, 249 |
10, 73, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 73 x 83 = 363540
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 20,438,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,438,249) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(20,438,249) x common factors =1 x 6 = 6
LCM(20,438,249) = ( 20 × 438 × 249 ) / 6
LCM(20,438,249) = 2181240 / 6
LCM(20,438,249) = 363540
Lets's calculate GCF of 853,545,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363540/1
Therefore the LCM of Fractions 20/853,438/545,249/596 is 363540
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 853,545,596 . The biggest common factor number is the GCF number.
So the greatest common factor 853,545,596 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 20/853, 438/545, 249/596?
Answer: LCM of Numerators as per given numbers 20/853, 438/545, 249/596 is
LCM of Numerators i.e. for 20,438,249 is 363540
GCF of denominators i.e. for 853,545,596 is 1.
Thus, LCM of Fractions is 363540.Finally, LCM of Fractions for 20/853, 438/545, 249/596 is 363540.