Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3360/596, 2065/9006 quickly i.e. 99120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3360/596, 2065/9006 is 99120.
LCM(3360/596, 2065/9006) = 99120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3360/596,2065/9006
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 3360,2065
Least Common Multiple of Numerators i.e. LCM of 3360,2065 is 198240.
GCF of Denominators means GCF of 596,9006 as per the given fractions.
GCF of 596,9006 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3360,2065
5 | 3360, 2065 |
7 | 672, 413 |
96, 59 |
∴ So the LCM of the given numbers is 5 x 7 x 96 x 59 = 198240
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 3360,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3360,2065) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(3360,2065) x common factors =35 x 1 = 35
LCM(3360,2065) = ( 3360 × 2065 ) / 35
LCM(3360,2065) = 6938400 / 35
LCM(3360,2065) = 198240
Lets's calculate GCF of 596,9006
2 | 596, 9006 |
298, 4503 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198240/2
Therefore the LCM of Fractions 3360/596,2065/9006 is 99120
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 9006
List of positive integer factors of 9006 that divides 9006 without a remainder.
1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Greatest Common Factor
We found the factors 596,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 596,9006 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 3360/596, 2065/9006?
Answer: LCM of Numerators as per given numbers 3360/596, 2065/9006 is
LCM of Numerators i.e. for 3360,2065 is 198240
GCF of denominators i.e. for 596,9006 is 2.
Thus, LCM of Fractions is 99120.Finally, LCM of Fractions for 3360/596, 2065/9006 is 99120.