Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 193/143, 776/996, 298/972 quickly i.e. 22315432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 193/143, 776/996, 298/972 is 22315432.
LCM(193/143, 776/996, 298/972) = 22315432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 193/143,776/996,298/972
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 193,776,298
Least Common Multiple of Numerators i.e. LCM of 193,776,298 is 22315432.
GCF of Denominators means GCF of 143,996,972 as per the given fractions.
GCF of 143,996,972 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 193,776,298
2 | 193, 776, 298 |
193, 388, 149 |
∴ So the LCM of the given numbers is 2 x 193 x 388 x 149 = 22315432
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 193,776,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,776,298) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(193,776,298) x common factors =1 x 2 = 2
LCM(193,776,298) = ( 193 × 776 × 298 ) / 2
LCM(193,776,298) = 44630864 / 2
LCM(193,776,298) = 22315432
Lets's calculate GCF of 143,996,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22315432/1
Therefore the LCM of Fractions 193/143,776/996,298/972 is 22315432
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 143,996,972 . The biggest common factor number is the GCF number.
So the greatest common factor 143,996,972 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 193/143, 776/996, 298/972?
Answer: LCM of Numerators as per given numbers 193/143, 776/996, 298/972 is
LCM of Numerators i.e. for 193,776,298 is 22315432
GCF of denominators i.e. for 143,996,972 is 1.
Thus, LCM of Fractions is 22315432.Finally, LCM of Fractions for 193/143, 776/996, 298/972 is 22315432.