Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 189/65, 166/7285 quickly i.e. 31374/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 189/65, 166/7285 is 31374/5.
LCM(189/65, 166/7285) = 31374/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 189/65,166/7285
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 189,166
Least Common Multiple of Numerators i.e. LCM of 189,166 is 31374.
GCF of Denominators means GCF of 65,7285 as per the given fractions.
GCF of 65,7285 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 189,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 31374
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 189,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,166) x common factors =1 x 1 = 1
LCM(189,166) = ( 189 × 166 ) / 1
LCM(189,166) = 31374 / 1
LCM(189,166) = 31374
Lets's calculate GCF of 65,7285
5 | 65, 7285 |
13, 1457 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31374/5
Therefore the LCM of Fractions 189/65,166/7285 is 31374/5
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 7285
List of positive integer factors of 7285 that divides 7285 without a remainder.
1,5,31,47,155,235,1457,7285
Greatest Common Factor
We found the factors 65,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 65,7285 is 5.
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 189/65, 166/7285?
Answer: LCM of Numerators as per given numbers 189/65, 166/7285 is
LCM of Numerators i.e. for 189,166 is 31374
GCF of denominators i.e. for 65,7285 is 5.
Thus, LCM of Fractions is 31374/5.Finally, LCM of Fractions for 189/65, 166/7285 is 31374/5.