Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3310/209, 6178/9337 quickly i.e. 10224590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3310/209, 6178/9337 is 10224590.
LCM(3310/209, 6178/9337) = 10224590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3310/209,6178/9337
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 3310,6178
Least Common Multiple of Numerators i.e. LCM of 3310,6178 is 10224590.
GCF of Denominators means GCF of 209,9337 as per the given fractions.
GCF of 209,9337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3310,6178
2 | 3310, 6178 |
1655, 3089 |
∴ So the LCM of the given numbers is 2 x 1655 x 3089 = 10224590
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 3310,6178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3310,6178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3310,6178) x common factors =2 x 1 = 2
LCM(3310,6178) = ( 3310 × 6178 ) / 2
LCM(3310,6178) = 20449180 / 2
LCM(3310,6178) = 10224590
Lets's calculate GCF of 209,9337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10224590/1
Therefore the LCM of Fractions 3310/209,6178/9337 is 10224590
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 9337
List of positive integer factors of 9337 that divides 9337 without a remainder.
1,9337
Greatest Common Factor
We found the factors 209,9337 . The biggest common factor number is the GCF number.
So the greatest common factor 209,9337 is 1.
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 3310/209, 6178/9337?
Answer: LCM of Numerators as per given numbers 3310/209, 6178/9337 is
LCM of Numerators i.e. for 3310,6178 is 10224590
GCF of denominators i.e. for 209,9337 is 1.
Thus, LCM of Fractions is 10224590.Finally, LCM of Fractions for 3310/209, 6178/9337 is 10224590.