Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/81, 702/3993 quickly i.e. 6786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/81, 702/3993 is 6786.
LCM(174/81, 702/3993) = 6786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/81,702/3993
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 174,702
Least Common Multiple of Numerators i.e. LCM of 174,702 is 20358.
GCF of Denominators means GCF of 81,3993 as per the given fractions.
GCF of 81,3993 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,702
2 | 174, 702 |
3 | 87, 351 |
29, 117 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 117 = 20358
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 174,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,702) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,702) x common factors =6 x 1 = 6
LCM(174,702) = ( 174 × 702 ) / 6
LCM(174,702) = 122148 / 6
LCM(174,702) = 20358
Lets's calculate GCF of 81,3993
3 | 81, 3993 |
27, 1331 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20358/3
Therefore the LCM of Fractions 174/81,702/3993 is 6786
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 3993
List of positive integer factors of 3993 that divides 3993 without a remainder.
1,3,11,33,121,363,1331,3993
Greatest Common Factor
We found the factors 81,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 81,3993 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 174/81, 702/3993?
Answer: LCM of Numerators as per given numbers 174/81, 702/3993 is
LCM of Numerators i.e. for 174,702 is 20358
GCF of denominators i.e. for 81,3993 is 3.
Thus, LCM of Fractions is 6786.Finally, LCM of Fractions for 174/81, 702/3993 is 6786.