Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/76, 30/38, 64/99, 96/437 quickly i.e. 45120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/76, 30/38, 64/99, 96/437 is 45120.
LCM(47/76, 30/38, 64/99, 96/437) = 45120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/76,30/38,64/99,96/437
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 47,30,64,96
Least Common Multiple of Numerators i.e. LCM of 47,30,64,96 is 45120.
GCF of Denominators means GCF of 76,38,99,437 as per the given fractions.
GCF of 76,38,99,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,30,64,96
2 | 47, 30, 64, 96 |
2 | 47, 15, 32, 48 |
2 | 47, 15, 16, 24 |
2 | 47, 15, 8, 12 |
2 | 47, 15, 4, 6 |
3 | 47, 15, 2, 3 |
47, 5, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 47 x 5 x 2 x 1 = 45120
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 47,30,64,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,30,64,96) = 1
common factors(in case of two or more numbers have common factors) = 192
GCF(47,30,64,96) x common factors =1 x 192 = 192
LCM(47,30,64,96) = ( 47 × 30 × 64 × 96 ) / 192
LCM(47,30,64,96) = 8663040 / 192
LCM(47,30,64,96) = 45120
Lets's calculate GCF of 76,38,99,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45120/1
Therefore the LCM of Fractions 47/76,30/38,64/99,96/437 is 45120
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 76,38,99,437 . The biggest common factor number is the GCF number.
So the greatest common factor 76,38,99,437 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 47/76, 30/38, 64/99, 96/437?
Answer: LCM of Numerators as per given numbers 47/76, 30/38, 64/99, 96/437 is
LCM of Numerators i.e. for 47,30,64,96 is 45120
GCF of denominators i.e. for 76,38,99,437 is 1.
Thus, LCM of Fractions is 45120.Finally, LCM of Fractions for 47/76, 30/38, 64/99, 96/437 is 45120.