Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 296/99, 176/9986 quickly i.e. 6512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 296/99, 176/9986 is 6512.
LCM(296/99, 176/9986) = 6512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 296/99,176/9986
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 296,176
Least Common Multiple of Numerators i.e. LCM of 296,176 is 6512.
GCF of Denominators means GCF of 99,9986 as per the given fractions.
GCF of 99,9986 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 296,176
2 | 296, 176 |
2 | 148, 88 |
2 | 74, 44 |
37, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 22 = 6512
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 296,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,176) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,176) x common factors =8 x 1 = 8
LCM(296,176) = ( 296 × 176 ) / 8
LCM(296,176) = 52096 / 8
LCM(296,176) = 6512
Lets's calculate GCF of 99,9986
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6512/1
Therefore the LCM of Fractions 296/99,176/9986 is 6512
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 9986
List of positive integer factors of 9986 that divides 9986 without a remainder.
1,2,4993,9986
Greatest Common Factor
We found the factors 99,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9986 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 296/99, 176/9986?
Answer: LCM of Numerators as per given numbers 296/99, 176/9986 is
LCM of Numerators i.e. for 296,176 is 6512
GCF of denominators i.e. for 99,9986 is 1.
Thus, LCM of Fractions is 6512.Finally, LCM of Fractions for 296/99, 176/9986 is 6512.