Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 173/82, 8100/451 quickly i.e. 1401300/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 173/82, 8100/451 is 1401300/41.
LCM(173/82, 8100/451) = 1401300/41
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 173/82,8100/451
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 173,8100
Least Common Multiple of Numerators i.e. LCM of 173,8100 is 1401300.
GCF of Denominators means GCF of 82,451 as per the given fractions.
GCF of 82,451 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 173,8100
Given numbers has no common factors except 1. So, there LCM is their product i.e 1401300
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 173,8100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,8100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,8100) x common factors =1 x 1 = 1
LCM(173,8100) = ( 173 × 8100 ) / 1
LCM(173,8100) = 1401300 / 1
LCM(173,8100) = 1401300
Lets's calculate GCF of 82,451
41 | 82, 451 |
2, 11 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1401300/41
Therefore the LCM of Fractions 173/82,8100/451 is 1401300/41
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 82,451 . The biggest common factor number is the GCF number.
So the greatest common factor 82,451 is 41.
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 173/82, 8100/451?
Answer: LCM of Numerators as per given numbers 173/82, 8100/451 is
LCM of Numerators i.e. for 173,8100 is 1401300
GCF of denominators i.e. for 82,451 is 41.
Thus, LCM of Fractions is 1401300/41.Finally, LCM of Fractions for 173/82, 8100/451 is 1401300/41.