Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/873, 1658/8193 quickly i.e. 101138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/873, 1658/8193 is 101138.
LCM(366/873, 1658/8193) = 101138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/873,1658/8193
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 366,1658
Least Common Multiple of Numerators i.e. LCM of 366,1658 is 303414.
GCF of Denominators means GCF of 873,8193 as per the given fractions.
GCF of 873,8193 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,1658
2 | 366, 1658 |
183, 829 |
∴ So the LCM of the given numbers is 2 x 183 x 829 = 303414
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 366,1658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,1658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,1658) x common factors =2 x 1 = 2
LCM(366,1658) = ( 366 × 1658 ) / 2
LCM(366,1658) = 606828 / 2
LCM(366,1658) = 303414
Lets's calculate GCF of 873,8193
3 | 873, 8193 |
291, 2731 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303414/3
Therefore the LCM of Fractions 366/873,1658/8193 is 101138
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 8193
List of positive integer factors of 8193 that divides 8193 without a remainder.
1,3,2731,8193
Greatest Common Factor
We found the factors 873,8193 . The biggest common factor number is the GCF number.
So the greatest common factor 873,8193 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 366/873, 1658/8193?
Answer: LCM of Numerators as per given numbers 366/873, 1658/8193 is
LCM of Numerators i.e. for 366,1658 is 303414
GCF of denominators i.e. for 873,8193 is 3.
Thus, LCM of Fractions is 101138.Finally, LCM of Fractions for 366/873, 1658/8193 is 101138.