Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/690, 5454/1306 quickly i.e. 29997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/690, 5454/1306 is 29997.
LCM(99/690, 5454/1306) = 29997
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/690,5454/1306
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 99,5454
Least Common Multiple of Numerators i.e. LCM of 99,5454 is 59994.
GCF of Denominators means GCF of 690,1306 as per the given fractions.
GCF of 690,1306 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,5454
3 | 99, 5454 |
3 | 33, 1818 |
11, 606 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 606 = 59994
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 99,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,5454) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(99,5454) x common factors =9 x 1 = 9
LCM(99,5454) = ( 99 × 5454 ) / 9
LCM(99,5454) = 539946 / 9
LCM(99,5454) = 59994
Lets's calculate GCF of 690,1306
2 | 690, 1306 |
345, 653 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59994/2
Therefore the LCM of Fractions 99/690,5454/1306 is 29997
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 1306
List of positive integer factors of 1306 that divides 1306 without a remainder.
1,2,653,1306
Greatest Common Factor
We found the factors 690,1306 . The biggest common factor number is the GCF number.
So the greatest common factor 690,1306 is 2.
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 99/690, 5454/1306?
Answer: LCM of Numerators as per given numbers 99/690, 5454/1306 is
LCM of Numerators i.e. for 99,5454 is 59994
GCF of denominators i.e. for 690,1306 is 2.
Thus, LCM of Fractions is 29997.Finally, LCM of Fractions for 99/690, 5454/1306 is 29997.