Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4772/13, 3640/384 quickly i.e. 4342520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4772/13, 3640/384 is 4342520.
LCM(4772/13, 3640/384) = 4342520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4772/13,3640/384
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 4772,3640
Least Common Multiple of Numerators i.e. LCM of 4772,3640 is 4342520.
GCF of Denominators means GCF of 13,384 as per the given fractions.
GCF of 13,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4772,3640
2 | 4772, 3640 |
2 | 2386, 1820 |
1193, 910 |
∴ So the LCM of the given numbers is 2 x 2 x 1193 x 910 = 4342520
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 4772,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4772,3640) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4772,3640) x common factors =4 x 1 = 4
LCM(4772,3640) = ( 4772 × 3640 ) / 4
LCM(4772,3640) = 17370080 / 4
LCM(4772,3640) = 4342520
Lets's calculate GCF of 13,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4342520/1
Therefore the LCM of Fractions 4772/13,3640/384 is 4342520
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 13,384 . The biggest common factor number is the GCF number.
So the greatest common factor 13,384 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 4772/13, 3640/384?
Answer: LCM of Numerators as per given numbers 4772/13, 3640/384 is
LCM of Numerators i.e. for 4772,3640 is 4342520
GCF of denominators i.e. for 13,384 is 1.
Thus, LCM of Fractions is 4342520.Finally, LCM of Fractions for 4772/13, 3640/384 is 4342520.