Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1842/204, 3640/7185 quickly i.e. 1117480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1842/204, 3640/7185 is 1117480.
LCM(1842/204, 3640/7185) = 1117480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1842/204,3640/7185
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 1842,3640
Least Common Multiple of Numerators i.e. LCM of 1842,3640 is 3352440.
GCF of Denominators means GCF of 204,7185 as per the given fractions.
GCF of 204,7185 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1842,3640
2 | 1842, 3640 |
921, 1820 |
∴ So the LCM of the given numbers is 2 x 921 x 1820 = 3352440
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 1842,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1842,3640) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1842,3640) x common factors =2 x 1 = 2
LCM(1842,3640) = ( 1842 × 3640 ) / 2
LCM(1842,3640) = 6704880 / 2
LCM(1842,3640) = 3352440
Lets's calculate GCF of 204,7185
3 | 204, 7185 |
68, 2395 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3352440/3
Therefore the LCM of Fractions 1842/204,3640/7185 is 1117480
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 7185
List of positive integer factors of 7185 that divides 7185 without a remainder.
1,3,5,15,479,1437,2395,7185
Greatest Common Factor
We found the factors 204,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 204,7185 is 3.
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 1842/204, 3640/7185?
Answer: LCM of Numerators as per given numbers 1842/204, 3640/7185 is
LCM of Numerators i.e. for 1842,3640 is 3352440
GCF of denominators i.e. for 204,7185 is 3.
Thus, LCM of Fractions is 1117480.Finally, LCM of Fractions for 1842/204, 3640/7185 is 1117480.