Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/489, 5753/3334 quickly i.e. 3169903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/489, 5753/3334 is 3169903.
LCM(551/489, 5753/3334) = 3169903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/489,5753/3334
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 551,5753
Least Common Multiple of Numerators i.e. LCM of 551,5753 is 3169903.
GCF of Denominators means GCF of 489,3334 as per the given fractions.
GCF of 489,3334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,5753
Given numbers has no common factors except 1. So, there LCM is their product i.e 3169903
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 551,5753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,5753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,5753) x common factors =1 x 1 = 1
LCM(551,5753) = ( 551 × 5753 ) / 1
LCM(551,5753) = 3169903 / 1
LCM(551,5753) = 3169903
Lets's calculate GCF of 489,3334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3169903/1
Therefore the LCM of Fractions 551/489,5753/3334 is 3169903
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 3334
List of positive integer factors of 3334 that divides 3334 without a remainder.
1,2,1667,3334
Greatest Common Factor
We found the factors 489,3334 . The biggest common factor number is the GCF number.
So the greatest common factor 489,3334 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 551/489, 5753/3334?
Answer: LCM of Numerators as per given numbers 551/489, 5753/3334 is
LCM of Numerators i.e. for 551,5753 is 3169903
GCF of denominators i.e. for 489,3334 is 1.
Thus, LCM of Fractions is 3169903.Finally, LCM of Fractions for 551/489, 5753/3334 is 3169903.