Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/404, 57/335, 618/348 quickly i.e. 117420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/404, 57/335, 618/348 is 117420.
LCM(20/404, 57/335, 618/348) = 117420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/404,57/335,618/348
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 20,57,618
Least Common Multiple of Numerators i.e. LCM of 20,57,618 is 117420.
GCF of Denominators means GCF of 404,335,348 as per the given fractions.
GCF of 404,335,348 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,57,618
2 | 20, 57, 618 |
3 | 10, 57, 309 |
10, 19, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 19 x 103 = 117420
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 20,57,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,57,618) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(20,57,618) x common factors =1 x 6 = 6
LCM(20,57,618) = ( 20 × 57 × 618 ) / 6
LCM(20,57,618) = 704520 / 6
LCM(20,57,618) = 117420
Lets's calculate GCF of 404,335,348
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117420/1
Therefore the LCM of Fractions 20/404,57/335,618/348 is 117420
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 404,335,348 . The biggest common factor number is the GCF number.
So the greatest common factor 404,335,348 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 20/404, 57/335, 618/348?
Answer: LCM of Numerators as per given numbers 20/404, 57/335, 618/348 is
LCM of Numerators i.e. for 20,57,618 is 117420
GCF of denominators i.e. for 404,335,348 is 1.
Thus, LCM of Fractions is 117420.Finally, LCM of Fractions for 20/404, 57/335, 618/348 is 117420.