Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 133/98, 166/1686 quickly i.e. 11039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 133/98, 166/1686 is 11039.
LCM(133/98, 166/1686) = 11039
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 133/98,166/1686
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 133,166
Least Common Multiple of Numerators i.e. LCM of 133,166 is 22078.
GCF of Denominators means GCF of 98,1686 as per the given fractions.
GCF of 98,1686 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 133,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 22078
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 133,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,166) x common factors =1 x 1 = 1
LCM(133,166) = ( 133 × 166 ) / 1
LCM(133,166) = 22078 / 1
LCM(133,166) = 22078
Lets's calculate GCF of 98,1686
2 | 98, 1686 |
49, 843 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22078/2
Therefore the LCM of Fractions 133/98,166/1686 is 11039
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 1686
List of positive integer factors of 1686 that divides 1686 without a remainder.
1,2,3,6,281,562,843,1686
Greatest Common Factor
We found the factors 98,1686 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1686 is 2.
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 133/98, 166/1686?
Answer: LCM of Numerators as per given numbers 133/98, 166/1686 is
LCM of Numerators i.e. for 133,166 is 22078
GCF of denominators i.e. for 98,1686 is 2.
Thus, LCM of Fractions is 11039.Finally, LCM of Fractions for 133/98, 166/1686 is 11039.