Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/193, 457/63, 482/672 quickly i.e. 17842194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/193, 457/63, 482/672 is 17842194.
LCM(81/193, 457/63, 482/672) = 17842194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/193,457/63,482/672
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 81,457,482
Least Common Multiple of Numerators i.e. LCM of 81,457,482 is 17842194.
GCF of Denominators means GCF of 193,63,672 as per the given fractions.
GCF of 193,63,672 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,457,482
Given numbers has no common factors except 1. So, there LCM is their product i.e 17842194
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 81,457,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,457,482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,457,482) x common factors =1 x 1 = 1
LCM(81,457,482) = ( 81 × 457 × 482 ) / 1
LCM(81,457,482) = 17842194 / 1
LCM(81,457,482) = 17842194
Lets's calculate GCF of 193,63,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17842194/1
Therefore the LCM of Fractions 81/193,457/63,482/672 is 17842194
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 193,63,672 . The biggest common factor number is the GCF number.
So the greatest common factor 193,63,672 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 81/193, 457/63, 482/672?
Answer: LCM of Numerators as per given numbers 81/193, 457/63, 482/672 is
LCM of Numerators i.e. for 81,457,482 is 17842194
GCF of denominators i.e. for 193,63,672 is 1.
Thus, LCM of Fractions is 17842194.Finally, LCM of Fractions for 81/193, 457/63, 482/672 is 17842194.