Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 356/909, 8443/516 quickly i.e. 3005708/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 356/909, 8443/516 is 3005708/3.
LCM(356/909, 8443/516) = 3005708/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 356/909,8443/516
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 356,8443
Least Common Multiple of Numerators i.e. LCM of 356,8443 is 3005708.
GCF of Denominators means GCF of 909,516 as per the given fractions.
GCF of 909,516 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 356,8443
Given numbers has no common factors except 1. So, there LCM is their product i.e 3005708
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 356,8443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,8443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,8443) x common factors =1 x 1 = 1
LCM(356,8443) = ( 356 × 8443 ) / 1
LCM(356,8443) = 3005708 / 1
LCM(356,8443) = 3005708
Lets's calculate GCF of 909,516
3 | 909, 516 |
303, 172 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3005708/3
Therefore the LCM of Fractions 356/909,8443/516 is 3005708/3
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 909,516 . The biggest common factor number is the GCF number.
So the greatest common factor 909,516 is 3.
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 356/909, 8443/516?
Answer: LCM of Numerators as per given numbers 356/909, 8443/516 is
LCM of Numerators i.e. for 356,8443 is 3005708
GCF of denominators i.e. for 909,516 is 3.
Thus, LCM of Fractions is 3005708/3.Finally, LCM of Fractions for 356/909, 8443/516 is 3005708/3.