Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/552, 11/993, 67/489 quickly i.e. 2211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/552, 11/993, 67/489 is 2211.
LCM(9/552, 11/993, 67/489) = 2211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/552,11/993,67/489
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 9,11,67
Least Common Multiple of Numerators i.e. LCM of 9,11,67 is 6633.
GCF of Denominators means GCF of 552,993,489 as per the given fractions.
GCF of 552,993,489 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,11,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 6633
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 9,11,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,11,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,11,67) x common factors =1 x 1 = 1
LCM(9,11,67) = ( 9 × 11 × 67 ) / 1
LCM(9,11,67) = 6633 / 1
LCM(9,11,67) = 6633
Lets's calculate GCF of 552,993,489
3 | 552, 993, 489 |
184, 331, 163 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6633/3
Therefore the LCM of Fractions 9/552,11/993,67/489 is 2211
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 552,993,489 . The biggest common factor number is the GCF number.
So the greatest common factor 552,993,489 is 3.
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 9/552, 11/993, 67/489?
Answer: LCM of Numerators as per given numbers 9/552, 11/993, 67/489 is
LCM of Numerators i.e. for 9,11,67 is 6633
GCF of denominators i.e. for 552,993,489 is 3.
Thus, LCM of Fractions is 2211.Finally, LCM of Fractions for 9/552, 11/993, 67/489 is 2211.