Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/768, 737/639, 718/964 quickly i.e. 16404146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/768, 737/639, 718/964 is 16404146.
LCM(31/768, 737/639, 718/964) = 16404146
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/768,737/639,718/964
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 31,737,718
Least Common Multiple of Numerators i.e. LCM of 31,737,718 is 16404146.
GCF of Denominators means GCF of 768,639,964 as per the given fractions.
GCF of 768,639,964 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,737,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 16404146
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 31,737,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,737,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,737,718) x common factors =1 x 1 = 1
LCM(31,737,718) = ( 31 × 737 × 718 ) / 1
LCM(31,737,718) = 16404146 / 1
LCM(31,737,718) = 16404146
Lets's calculate GCF of 768,639,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16404146/1
Therefore the LCM of Fractions 31/768,737/639,718/964 is 16404146
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 768,639,964 . The biggest common factor number is the GCF number.
So the greatest common factor 768,639,964 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 31/768, 737/639, 718/964?
Answer: LCM of Numerators as per given numbers 31/768, 737/639, 718/964 is
LCM of Numerators i.e. for 31,737,718 is 16404146
GCF of denominators i.e. for 768,639,964 is 1.
Thus, LCM of Fractions is 16404146.Finally, LCM of Fractions for 31/768, 737/639, 718/964 is 16404146.