Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/825, 283/687, 655/296 quickly i.e. 17424310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/825, 283/687, 655/296 is 17424310.
LCM(94/825, 283/687, 655/296) = 17424310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/825,283/687,655/296
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 94,283,655
Least Common Multiple of Numerators i.e. LCM of 94,283,655 is 17424310.
GCF of Denominators means GCF of 825,687,296 as per the given fractions.
GCF of 825,687,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,283,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 17424310
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 94,283,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,283,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,283,655) x common factors =1 x 1 = 1
LCM(94,283,655) = ( 94 × 283 × 655 ) / 1
LCM(94,283,655) = 17424310 / 1
LCM(94,283,655) = 17424310
Lets's calculate GCF of 825,687,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17424310/1
Therefore the LCM of Fractions 94/825,283/687,655/296 is 17424310
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 825,687,296 . The biggest common factor number is the GCF number.
So the greatest common factor 825,687,296 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 94/825, 283/687, 655/296?
Answer: LCM of Numerators as per given numbers 94/825, 283/687, 655/296 is
LCM of Numerators i.e. for 94,283,655 is 17424310
GCF of denominators i.e. for 825,687,296 is 1.
Thus, LCM of Fractions is 17424310.Finally, LCM of Fractions for 94/825, 283/687, 655/296 is 17424310.