Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2923/549, 8067/4715 quickly i.e. 23579841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2923/549, 8067/4715 is 23579841.
LCM(2923/549, 8067/4715) = 23579841
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2923/549,8067/4715
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 2923,8067
Least Common Multiple of Numerators i.e. LCM of 2923,8067 is 23579841.
GCF of Denominators means GCF of 549,4715 as per the given fractions.
GCF of 549,4715 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2923,8067
Given numbers has no common factors except 1. So, there LCM is their product i.e 23579841
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 2923,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2923,8067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2923,8067) x common factors =1 x 1 = 1
LCM(2923,8067) = ( 2923 × 8067 ) / 1
LCM(2923,8067) = 23579841 / 1
LCM(2923,8067) = 23579841
Lets's calculate GCF of 549,4715
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23579841/1
Therefore the LCM of Fractions 2923/549,8067/4715 is 23579841
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1,5,23,41,115,205,943,4715
Greatest Common Factor
We found the factors 549,4715 . The biggest common factor number is the GCF number.
So the greatest common factor 549,4715 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 2923/549, 8067/4715?
Answer: LCM of Numerators as per given numbers 2923/549, 8067/4715 is
LCM of Numerators i.e. for 2923,8067 is 23579841
GCF of denominators i.e. for 549,4715 is 1.
Thus, LCM of Fractions is 23579841.Finally, LCM of Fractions for 2923/549, 8067/4715 is 23579841.