Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/821, 46/225, 203/558 quickly i.e. 84042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/821, 46/225, 203/558 is 84042.
LCM(18/821, 46/225, 203/558) = 84042
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/821,46/225,203/558
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 18,46,203
Least Common Multiple of Numerators i.e. LCM of 18,46,203 is 84042.
GCF of Denominators means GCF of 821,225,558 as per the given fractions.
GCF of 821,225,558 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,46,203
2 | 18, 46, 203 |
9, 23, 203 |
∴ So the LCM of the given numbers is 2 x 9 x 23 x 203 = 84042
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 18,46,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,46,203) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,46,203) x common factors =1 x 2 = 2
LCM(18,46,203) = ( 18 × 46 × 203 ) / 2
LCM(18,46,203) = 168084 / 2
LCM(18,46,203) = 84042
Lets's calculate GCF of 821,225,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84042/1
Therefore the LCM of Fractions 18/821,46/225,203/558 is 84042
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 821,225,558 . The biggest common factor number is the GCF number.
So the greatest common factor 821,225,558 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 18/821, 46/225, 203/558?
Answer: LCM of Numerators as per given numbers 18/821, 46/225, 203/558 is
LCM of Numerators i.e. for 18,46,203 is 84042
GCF of denominators i.e. for 821,225,558 is 1.
Thus, LCM of Fractions is 84042.Finally, LCM of Fractions for 18/821, 46/225, 203/558 is 84042.