Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 400/549, 1744/9036 quickly i.e. 43600/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 400/549, 1744/9036 is 43600/9.
LCM(400/549, 1744/9036) = 43600/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 400/549,1744/9036
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 400,1744
Least Common Multiple of Numerators i.e. LCM of 400,1744 is 43600.
GCF of Denominators means GCF of 549,9036 as per the given fractions.
GCF of 549,9036 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 400,1744
2 | 400, 1744 |
2 | 200, 872 |
2 | 100, 436 |
2 | 50, 218 |
25, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 109 = 43600
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 400,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,1744) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(400,1744) x common factors =16 x 1 = 16
LCM(400,1744) = ( 400 × 1744 ) / 16
LCM(400,1744) = 697600 / 16
LCM(400,1744) = 43600
Lets's calculate GCF of 549,9036
3 | 549, 9036 |
3 | 183, 3012 |
61, 1004 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43600/9
Therefore the LCM of Fractions 400/549,1744/9036 is 43600/9
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 9036
List of positive integer factors of 9036 that divides 9036 without a remainder.
1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Greatest Common Factor
We found the factors 549,9036 . The biggest common factor number is the GCF number.
So the greatest common factor 549,9036 is 9.
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 400/549, 1744/9036?
Answer: LCM of Numerators as per given numbers 400/549, 1744/9036 is
LCM of Numerators i.e. for 400,1744 is 43600
GCF of denominators i.e. for 549,9036 is 9.
Thus, LCM of Fractions is 43600/9.Finally, LCM of Fractions for 400/549, 1744/9036 is 43600/9.