Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/121, 55/684, 573/594 quickly i.e. 31515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/121, 55/684, 573/594 is 31515.
LCM(11/121, 55/684, 573/594) = 31515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/121,55/684,573/594
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 11,55,573
Least Common Multiple of Numerators i.e. LCM of 11,55,573 is 31515.
GCF of Denominators means GCF of 121,684,594 as per the given fractions.
GCF of 121,684,594 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,55,573
11 | 11, 55, 573 |
1, 5, 573 |
∴ So the LCM of the given numbers is 11 x 1 x 5 x 573 = 31515
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 11,55,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,55,573) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(11,55,573) x common factors =1 x 11 = 11
LCM(11,55,573) = ( 11 × 55 × 573 ) / 11
LCM(11,55,573) = 346665 / 11
LCM(11,55,573) = 31515
Lets's calculate GCF of 121,684,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31515/1
Therefore the LCM of Fractions 11/121,55/684,573/594 is 31515
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 121,684,594 . The biggest common factor number is the GCF number.
So the greatest common factor 121,684,594 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 11/121, 55/684, 573/594?
Answer: LCM of Numerators as per given numbers 11/121, 55/684, 573/594 is
LCM of Numerators i.e. for 11,55,573 is 31515
GCF of denominators i.e. for 121,684,594 is 1.
Thus, LCM of Fractions is 31515.Finally, LCM of Fractions for 11/121, 55/684, 573/594 is 31515.