Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/547, 3384/928 quickly i.e. 186120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/547, 3384/928 is 186120.
LCM(440/547, 3384/928) = 186120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/547,3384/928
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 440,3384
Least Common Multiple of Numerators i.e. LCM of 440,3384 is 186120.
GCF of Denominators means GCF of 547,928 as per the given fractions.
GCF of 547,928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,3384
2 | 440, 3384 |
2 | 220, 1692 |
2 | 110, 846 |
55, 423 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 423 = 186120
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 440,3384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,3384) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(440,3384) x common factors =8 x 1 = 8
LCM(440,3384) = ( 440 × 3384 ) / 8
LCM(440,3384) = 1488960 / 8
LCM(440,3384) = 186120
Lets's calculate GCF of 547,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186120/1
Therefore the LCM of Fractions 440/547,3384/928 is 186120
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 547,928 . The biggest common factor number is the GCF number.
So the greatest common factor 547,928 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 440/547, 3384/928?
Answer: LCM of Numerators as per given numbers 440/547, 3384/928 is
LCM of Numerators i.e. for 440,3384 is 186120
GCF of denominators i.e. for 547,928 is 1.
Thus, LCM of Fractions is 186120.Finally, LCM of Fractions for 440/547, 3384/928 is 186120.