Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8336/730, 4206/646 quickly i.e. 8765304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8336/730, 4206/646 is 8765304.
LCM(8336/730, 4206/646) = 8765304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8336/730,4206/646
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 8336,4206
Least Common Multiple of Numerators i.e. LCM of 8336,4206 is 17530608.
GCF of Denominators means GCF of 730,646 as per the given fractions.
GCF of 730,646 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8336,4206
2 | 8336, 4206 |
4168, 2103 |
∴ So the LCM of the given numbers is 2 x 4168 x 2103 = 17530608
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 8336,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8336,4206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8336,4206) x common factors =2 x 1 = 2
LCM(8336,4206) = ( 8336 × 4206 ) / 2
LCM(8336,4206) = 35061216 / 2
LCM(8336,4206) = 17530608
Lets's calculate GCF of 730,646
2 | 730, 646 |
365, 323 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17530608/2
Therefore the LCM of Fractions 8336/730,4206/646 is 8765304
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 730,646 . The biggest common factor number is the GCF number.
So the greatest common factor 730,646 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 8336/730, 4206/646?
Answer: LCM of Numerators as per given numbers 8336/730, 4206/646 is
LCM of Numerators i.e. for 8336,4206 is 17530608
GCF of denominators i.e. for 730,646 is 2.
Thus, LCM of Fractions is 8765304.Finally, LCM of Fractions for 8336/730, 4206/646 is 8765304.