Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/549, 5835/3343 quickly i.e. 29175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/549, 5835/3343 is 29175.
LCM(75/549, 5835/3343) = 29175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/549,5835/3343
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 75,5835
Least Common Multiple of Numerators i.e. LCM of 75,5835 is 29175.
GCF of Denominators means GCF of 549,3343 as per the given fractions.
GCF of 549,3343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,5835
3 | 75, 5835 |
5 | 25, 1945 |
5, 389 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 389 = 29175
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 75,5835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,5835) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(75,5835) x common factors =15 x 1 = 15
LCM(75,5835) = ( 75 × 5835 ) / 15
LCM(75,5835) = 437625 / 15
LCM(75,5835) = 29175
Lets's calculate GCF of 549,3343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29175/1
Therefore the LCM of Fractions 75/549,5835/3343 is 29175
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 3343
List of positive integer factors of 3343 that divides 3343 without a remainder.
1,3343
Greatest Common Factor
We found the factors 549,3343 . The biggest common factor number is the GCF number.
So the greatest common factor 549,3343 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 75/549, 5835/3343?
Answer: LCM of Numerators as per given numbers 75/549, 5835/3343 is
LCM of Numerators i.e. for 75,5835 is 29175
GCF of denominators i.e. for 549,3343 is 1.
Thus, LCM of Fractions is 29175.Finally, LCM of Fractions for 75/549, 5835/3343 is 29175.