Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/302, 193/606, 674/863 quickly i.e. 129691754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/302, 193/606, 674/863 is 129691754.
LCM(997/302, 193/606, 674/863) = 129691754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/302,193/606,674/863
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 997,193,674
Least Common Multiple of Numerators i.e. LCM of 997,193,674 is 129691754.
GCF of Denominators means GCF of 302,606,863 as per the given fractions.
GCF of 302,606,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,193,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 129691754
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 997,193,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,193,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,193,674) x common factors =1 x 1 = 1
LCM(997,193,674) = ( 997 × 193 × 674 ) / 1
LCM(997,193,674) = 129691754 / 1
LCM(997,193,674) = 129691754
Lets's calculate GCF of 302,606,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129691754/1
Therefore the LCM of Fractions 997/302,193/606,674/863 is 129691754
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 302,606,863 . The biggest common factor number is the GCF number.
So the greatest common factor 302,606,863 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 997/302, 193/606, 674/863?
Answer: LCM of Numerators as per given numbers 997/302, 193/606, 674/863 is
LCM of Numerators i.e. for 997,193,674 is 129691754
GCF of denominators i.e. for 302,606,863 is 1.
Thus, LCM of Fractions is 129691754.Finally, LCM of Fractions for 997/302, 193/606, 674/863 is 129691754.