Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/744, 9733/3896 quickly i.e. 457451/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/744, 9733/3896 is 457451/8.
LCM(47/744, 9733/3896) = 457451/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/744,9733/3896
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 47,9733
Least Common Multiple of Numerators i.e. LCM of 47,9733 is 457451.
GCF of Denominators means GCF of 744,3896 as per the given fractions.
GCF of 744,3896 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,9733
Given numbers has no common factors except 1. So, there LCM is their product i.e 457451
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 47,9733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,9733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,9733) x common factors =1 x 1 = 1
LCM(47,9733) = ( 47 × 9733 ) / 1
LCM(47,9733) = 457451 / 1
LCM(47,9733) = 457451
Lets's calculate GCF of 744,3896
2 | 744, 3896 |
2 | 372, 1948 |
2 | 186, 974 |
93, 487 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457451/8
Therefore the LCM of Fractions 47/744,9733/3896 is 457451/8
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 3896
List of positive integer factors of 3896 that divides 3896 without a remainder.
1,2,4,8,487,974,1948,3896
Greatest Common Factor
We found the factors 744,3896 . The biggest common factor number is the GCF number.
So the greatest common factor 744,3896 is 8.
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 47/744, 9733/3896?
Answer: LCM of Numerators as per given numbers 47/744, 9733/3896 is
LCM of Numerators i.e. for 47,9733 is 457451
GCF of denominators i.e. for 744,3896 is 8.
Thus, LCM of Fractions is 457451/8.Finally, LCM of Fractions for 47/744, 9733/3896 is 457451/8.