Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/394, 61/182, 293/482 quickly i.e. 160857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/394, 61/182, 293/482 is 160857.
LCM(18/394, 61/182, 293/482) = 160857
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/394,61/182,293/482
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 18,61,293
Least Common Multiple of Numerators i.e. LCM of 18,61,293 is 321714.
GCF of Denominators means GCF of 394,182,482 as per the given fractions.
GCF of 394,182,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,61,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 321714
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 18,61,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,61,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,61,293) x common factors =1 x 1 = 1
LCM(18,61,293) = ( 18 × 61 × 293 ) / 1
LCM(18,61,293) = 321714 / 1
LCM(18,61,293) = 321714
Lets's calculate GCF of 394,182,482
2 | 394, 182, 482 |
197, 91, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321714/2
Therefore the LCM of Fractions 18/394,61/182,293/482 is 160857
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 394,182,482 . The biggest common factor number is the GCF number.
So the greatest common factor 394,182,482 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 18/394, 61/182, 293/482?
Answer: LCM of Numerators as per given numbers 18/394, 61/182, 293/482 is
LCM of Numerators i.e. for 18,61,293 is 321714
GCF of denominators i.e. for 394,182,482 is 2.
Thus, LCM of Fractions is 160857.Finally, LCM of Fractions for 18/394, 61/182, 293/482 is 160857.