Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/192, 6481/5982 quickly i.e. 479594/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/192, 6481/5982 is 479594/6.
LCM(74/192, 6481/5982) = 479594/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/192,6481/5982
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 74,6481
Least Common Multiple of Numerators i.e. LCM of 74,6481 is 479594.
GCF of Denominators means GCF of 192,5982 as per the given fractions.
GCF of 192,5982 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,6481
Given numbers has no common factors except 1. So, there LCM is their product i.e 479594
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 74,6481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,6481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,6481) x common factors =1 x 1 = 1
LCM(74,6481) = ( 74 × 6481 ) / 1
LCM(74,6481) = 479594 / 1
LCM(74,6481) = 479594
Lets's calculate GCF of 192,5982
2 | 192, 5982 |
3 | 96, 2991 |
32, 997 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479594/6
Therefore the LCM of Fractions 74/192,6481/5982 is 479594/6
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 5982
List of positive integer factors of 5982 that divides 5982 without a remainder.
1,2,3,6,997,1994,2991,5982
Greatest Common Factor
We found the factors 192,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 192,5982 is 6.
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 74/192, 6481/5982?
Answer: LCM of Numerators as per given numbers 74/192, 6481/5982 is
LCM of Numerators i.e. for 74,6481 is 479594
GCF of denominators i.e. for 192,5982 is 6.
Thus, LCM of Fractions is 479594/6.Finally, LCM of Fractions for 74/192, 6481/5982 is 479594/6.