Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2324/668, 1475/3190 quickly i.e. 1713950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2324/668, 1475/3190 is 1713950.
LCM(2324/668, 1475/3190) = 1713950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2324/668,1475/3190
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 2324,1475
Least Common Multiple of Numerators i.e. LCM of 2324,1475 is 3427900.
GCF of Denominators means GCF of 668,3190 as per the given fractions.
GCF of 668,3190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2324,1475
Given numbers has no common factors except 1. So, there LCM is their product i.e 3427900
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 2324,1475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2324,1475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2324,1475) x common factors =1 x 1 = 1
LCM(2324,1475) = ( 2324 × 1475 ) / 1
LCM(2324,1475) = 3427900 / 1
LCM(2324,1475) = 3427900
Lets's calculate GCF of 668,3190
2 | 668, 3190 |
334, 1595 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3427900/2
Therefore the LCM of Fractions 2324/668,1475/3190 is 1713950
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 3190
List of positive integer factors of 3190 that divides 3190 without a remainder.
1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190
Greatest Common Factor
We found the factors 668,3190 . The biggest common factor number is the GCF number.
So the greatest common factor 668,3190 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 2324/668, 1475/3190?
Answer: LCM of Numerators as per given numbers 2324/668, 1475/3190 is
LCM of Numerators i.e. for 2324,1475 is 3427900
GCF of denominators i.e. for 668,3190 is 2.
Thus, LCM of Fractions is 1713950.Finally, LCM of Fractions for 2324/668, 1475/3190 is 1713950.