Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/18, 38/574, 21/344 quickly i.e. 399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/18, 38/574, 21/344 is 399.
LCM(2/18, 38/574, 21/344) = 399
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/18,38/574,21/344
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 2,38,21
Least Common Multiple of Numerators i.e. LCM of 2,38,21 is 798.
GCF of Denominators means GCF of 18,574,344 as per the given fractions.
GCF of 18,574,344 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,38,21
2 | 2, 38, 21 |
1, 19, 21 |
∴ So the LCM of the given numbers is 2 x 1 x 19 x 21 = 798
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 2,38,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,38,21) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,38,21) x common factors =1 x 2 = 2
LCM(2,38,21) = ( 2 × 38 × 21 ) / 2
LCM(2,38,21) = 1596 / 2
LCM(2,38,21) = 798
Lets's calculate GCF of 18,574,344
2 | 18, 574, 344 |
9, 287, 172 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798/2
Therefore the LCM of Fractions 2/18,38/574,21/344 is 399
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 18,574,344 . The biggest common factor number is the GCF number.
So the greatest common factor 18,574,344 is 2.
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 2/18, 38/574, 21/344?
Answer: LCM of Numerators as per given numbers 2/18, 38/574, 21/344 is
LCM of Numerators i.e. for 2,38,21 is 798
GCF of denominators i.e. for 18,574,344 is 2.
Thus, LCM of Fractions is 399.Finally, LCM of Fractions for 2/18, 38/574, 21/344 is 399.