Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 549/168, 9193/5675 quickly i.e. 5046957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 549/168, 9193/5675 is 5046957.
LCM(549/168, 9193/5675) = 5046957
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 549/168,9193/5675
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 549,9193
Least Common Multiple of Numerators i.e. LCM of 549,9193 is 5046957.
GCF of Denominators means GCF of 168,5675 as per the given fractions.
GCF of 168,5675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 549,9193
Given numbers has no common factors except 1. So, there LCM is their product i.e 5046957
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 549,9193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,9193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,9193) x common factors =1 x 1 = 1
LCM(549,9193) = ( 549 × 9193 ) / 1
LCM(549,9193) = 5046957 / 1
LCM(549,9193) = 5046957
Lets's calculate GCF of 168,5675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5046957/1
Therefore the LCM of Fractions 549/168,9193/5675 is 5046957
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 5675
List of positive integer factors of 5675 that divides 5675 without a remainder.
1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 168,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 168,5675 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 549/168, 9193/5675?
Answer: LCM of Numerators as per given numbers 549/168, 9193/5675 is
LCM of Numerators i.e. for 549,9193 is 5046957
GCF of denominators i.e. for 168,5675 is 1.
Thus, LCM of Fractions is 5046957.Finally, LCM of Fractions for 549/168, 9193/5675 is 5046957.