Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/424, 411/955, 223/559 quickly i.e. 8157117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/424, 411/955, 223/559 is 8157117.
LCM(89/424, 411/955, 223/559) = 8157117
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/424,411/955,223/559
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 89,411,223
Least Common Multiple of Numerators i.e. LCM of 89,411,223 is 8157117.
GCF of Denominators means GCF of 424,955,559 as per the given fractions.
GCF of 424,955,559 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,411,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 8157117
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 89,411,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,411,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,411,223) x common factors =1 x 1 = 1
LCM(89,411,223) = ( 89 × 411 × 223 ) / 1
LCM(89,411,223) = 8157117 / 1
LCM(89,411,223) = 8157117
Lets's calculate GCF of 424,955,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8157117/1
Therefore the LCM of Fractions 89/424,411/955,223/559 is 8157117
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 424,955,559 . The biggest common factor number is the GCF number.
So the greatest common factor 424,955,559 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 89/424, 411/955, 223/559?
Answer: LCM of Numerators as per given numbers 89/424, 411/955, 223/559 is
LCM of Numerators i.e. for 89,411,223 is 8157117
GCF of denominators i.e. for 424,955,559 is 1.
Thus, LCM of Fractions is 8157117.Finally, LCM of Fractions for 89/424, 411/955, 223/559 is 8157117.