Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/297, 4689/594 quickly i.e. 3047850/297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/297, 4689/594 is 3047850/297.
LCM(650/297, 4689/594) = 3047850/297
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/297,4689/594
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 650,4689
Least Common Multiple of Numerators i.e. LCM of 650,4689 is 3047850.
GCF of Denominators means GCF of 297,594 as per the given fractions.
GCF of 297,594 is 297 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,4689
Given numbers has no common factors except 1. So, there LCM is their product i.e 3047850
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 650,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,4689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,4689) x common factors =1 x 1 = 1
LCM(650,4689) = ( 650 × 4689 ) / 1
LCM(650,4689) = 3047850 / 1
LCM(650,4689) = 3047850
Lets's calculate GCF of 297,594
3 | 297, 594 |
3 | 99, 198 |
3 | 33, 66 |
11 | 11, 22 |
1, 2 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 11 = 297
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3047850/297
Therefore the LCM of Fractions 650/297,4689/594 is 3047850/297
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
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 297,594 . The biggest common factor number is the GCF number.
So the greatest common factor 297,594 is 297.
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 650/297, 4689/594?
Answer: LCM of Numerators as per given numbers 650/297, 4689/594 is
LCM of Numerators i.e. for 650,4689 is 3047850
GCF of denominators i.e. for 297,594 is 297.
Thus, LCM of Fractions is 3047850/297.Finally, LCM of Fractions for 650/297, 4689/594 is 3047850/297.