Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3304/830, 1318/8206 quickly i.e. 1088668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3304/830, 1318/8206 is 1088668.
LCM(3304/830, 1318/8206) = 1088668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3304/830,1318/8206
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 3304,1318
Least Common Multiple of Numerators i.e. LCM of 3304,1318 is 2177336.
GCF of Denominators means GCF of 830,8206 as per the given fractions.
GCF of 830,8206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3304,1318
2 | 3304, 1318 |
1652, 659 |
∴ So the LCM of the given numbers is 2 x 1652 x 659 = 2177336
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 3304,1318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3304,1318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3304,1318) x common factors =2 x 1 = 2
LCM(3304,1318) = ( 3304 × 1318 ) / 2
LCM(3304,1318) = 4354672 / 2
LCM(3304,1318) = 2177336
Lets's calculate GCF of 830,8206
2 | 830, 8206 |
415, 4103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2177336/2
Therefore the LCM of Fractions 3304/830,1318/8206 is 1088668
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 8206
List of positive integer factors of 8206 that divides 8206 without a remainder.
1,2,11,22,373,746,4103,8206
Greatest Common Factor
We found the factors 830,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 830,8206 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 3304/830, 1318/8206?
Answer: LCM of Numerators as per given numbers 3304/830, 1318/8206 is
LCM of Numerators i.e. for 3304,1318 is 2177336
GCF of denominators i.e. for 830,8206 is 2.
Thus, LCM of Fractions is 1088668.Finally, LCM of Fractions for 3304/830, 1318/8206 is 1088668.