Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/99, 566/73, 841/192 quickly i.e. 453633718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/99, 566/73, 841/192 is 453633718.
LCM(953/99, 566/73, 841/192) = 453633718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/99,566/73,841/192
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 953,566,841
Least Common Multiple of Numerators i.e. LCM of 953,566,841 is 453633718.
GCF of Denominators means GCF of 99,73,192 as per the given fractions.
GCF of 99,73,192 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,566,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 453633718
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 953,566,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,566,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,566,841) x common factors =1 x 1 = 1
LCM(953,566,841) = ( 953 × 566 × 841 ) / 1
LCM(953,566,841) = 453633718 / 1
LCM(953,566,841) = 453633718
Lets's calculate GCF of 99,73,192
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453633718/1
Therefore the LCM of Fractions 953/99,566/73,841/192 is 453633718
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 99,73,192 . The biggest common factor number is the GCF number.
So the greatest common factor 99,73,192 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 953/99, 566/73, 841/192?
Answer: LCM of Numerators as per given numbers 953/99, 566/73, 841/192 is
LCM of Numerators i.e. for 953,566,841 is 453633718
GCF of denominators i.e. for 99,73,192 is 1.
Thus, LCM of Fractions is 453633718.Finally, LCM of Fractions for 953/99, 566/73, 841/192 is 453633718.