Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/182, 750/233 quickly i.e. 8250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/182, 750/233 is 8250.
LCM(165/182, 750/233) = 8250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/182,750/233
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 165,750
Least Common Multiple of Numerators i.e. LCM of 165,750 is 8250.
GCF of Denominators means GCF of 182,233 as per the given fractions.
GCF of 182,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,750
3 | 165, 750 |
5 | 55, 250 |
11, 50 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 50 = 8250
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 165,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,750) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(165,750) x common factors =15 x 1 = 15
LCM(165,750) = ( 165 × 750 ) / 15
LCM(165,750) = 123750 / 15
LCM(165,750) = 8250
Lets's calculate GCF of 182,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8250/1
Therefore the LCM of Fractions 165/182,750/233 is 8250
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 182,233 . The biggest common factor number is the GCF number.
So the greatest common factor 182,233 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 165/182, 750/233?
Answer: LCM of Numerators as per given numbers 165/182, 750/233 is
LCM of Numerators i.e. for 165,750 is 8250
GCF of denominators i.e. for 182,233 is 1.
Thus, LCM of Fractions is 8250.Finally, LCM of Fractions for 165/182, 750/233 is 8250.