Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 818/18, 178/96, 204/315 quickly i.e. 2475268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 818/18, 178/96, 204/315 is 2475268.
LCM(818/18, 178/96, 204/315) = 2475268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 818/18,178/96,204/315
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 818,178,204
Least Common Multiple of Numerators i.e. LCM of 818,178,204 is 7425804.
GCF of Denominators means GCF of 18,96,315 as per the given fractions.
GCF of 18,96,315 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 818,178,204
2 | 818, 178, 204 |
409, 89, 102 |
∴ So the LCM of the given numbers is 2 x 409 x 89 x 102 = 7425804
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 818,178,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,178,204) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(818,178,204) x common factors =2 x 2 = 4
LCM(818,178,204) = ( 818 × 178 × 204 ) / 4
LCM(818,178,204) = 29703216 / 4
LCM(818,178,204) = 7425804
Lets's calculate GCF of 18,96,315
3 | 18, 96, 315 |
6, 32, 105 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7425804/3
Therefore the LCM of Fractions 818/18,178/96,204/315 is 2475268
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 18,96,315 . The biggest common factor number is the GCF number.
So the greatest common factor 18,96,315 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 818/18, 178/96, 204/315?
Answer: LCM of Numerators as per given numbers 818/18, 178/96, 204/315 is
LCM of Numerators i.e. for 818,178,204 is 7425804
GCF of denominators i.e. for 18,96,315 is 3.
Thus, LCM of Fractions is 2475268.Finally, LCM of Fractions for 818/18, 178/96, 204/315 is 2475268.