Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4489/548, 4851/5865 quickly i.e. 21776139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4489/548, 4851/5865 is 21776139.
LCM(4489/548, 4851/5865) = 21776139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4489/548,4851/5865
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 4489,4851
Least Common Multiple of Numerators i.e. LCM of 4489,4851 is 21776139.
GCF of Denominators means GCF of 548,5865 as per the given fractions.
GCF of 548,5865 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4489,4851
Given numbers has no common factors except 1. So, there LCM is their product i.e 21776139
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 4489,4851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4489,4851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4489,4851) x common factors =1 x 1 = 1
LCM(4489,4851) = ( 4489 × 4851 ) / 1
LCM(4489,4851) = 21776139 / 1
LCM(4489,4851) = 21776139
Lets's calculate GCF of 548,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21776139/1
Therefore the LCM of Fractions 4489/548,4851/5865 is 21776139
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 5865
List of positive integer factors of 5865 that divides 5865 without a remainder.
1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 548,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 548,5865 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 4489/548, 4851/5865?
Answer: LCM of Numerators as per given numbers 4489/548, 4851/5865 is
LCM of Numerators i.e. for 4489,4851 is 21776139
GCF of denominators i.e. for 548,5865 is 1.
Thus, LCM of Fractions is 21776139.Finally, LCM of Fractions for 4489/548, 4851/5865 is 21776139.