Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/658, 3393/950 quickly i.e. 23751/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/658, 3393/950 is 23751/2.
LCM(609/658, 3393/950) = 23751/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/658,3393/950
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 609,3393
Least Common Multiple of Numerators i.e. LCM of 609,3393 is 23751.
GCF of Denominators means GCF of 658,950 as per the given fractions.
GCF of 658,950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,3393
3 | 609, 3393 |
29 | 203, 1131 |
7, 39 |
∴ So the LCM of the given numbers is 3 x 29 x 7 x 39 = 23751
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 609,3393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,3393) = 87
common factors(in case of two or more numbers have common factors) = 1
GCF(609,3393) x common factors =87 x 1 = 87
LCM(609,3393) = ( 609 × 3393 ) / 87
LCM(609,3393) = 2066337 / 87
LCM(609,3393) = 23751
Lets's calculate GCF of 658,950
2 | 658, 950 |
329, 475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23751/2
Therefore the LCM of Fractions 609/658,3393/950 is 23751/2
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 658,950 . The biggest common factor number is the GCF number.
So the greatest common factor 658,950 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 609/658, 3393/950?
Answer: LCM of Numerators as per given numbers 609/658, 3393/950 is
LCM of Numerators i.e. for 609,3393 is 23751
GCF of denominators i.e. for 658,950 is 2.
Thus, LCM of Fractions is 23751/2.Finally, LCM of Fractions for 609/658, 3393/950 is 23751/2.