Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8122/802, 3255/108 quickly i.e. 426405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8122/802, 3255/108 is 426405.
LCM(8122/802, 3255/108) = 426405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8122/802,3255/108
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 8122,3255
Least Common Multiple of Numerators i.e. LCM of 8122,3255 is 852810.
GCF of Denominators means GCF of 802,108 as per the given fractions.
GCF of 802,108 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8122,3255
31 | 8122, 3255 |
262, 105 |
∴ So the LCM of the given numbers is 31 x 262 x 105 = 852810
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 8122,3255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8122,3255) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(8122,3255) x common factors =31 x 1 = 31
LCM(8122,3255) = ( 8122 × 3255 ) / 31
LCM(8122,3255) = 26437110 / 31
LCM(8122,3255) = 852810
Lets's calculate GCF of 802,108
2 | 802, 108 |
401, 54 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 852810/2
Therefore the LCM of Fractions 8122/802,3255/108 is 426405
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 802,108 . The biggest common factor number is the GCF number.
So the greatest common factor 802,108 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 8122/802, 3255/108?
Answer: LCM of Numerators as per given numbers 8122/802, 3255/108 is
LCM of Numerators i.e. for 8122,3255 is 852810
GCF of denominators i.e. for 802,108 is 2.
Thus, LCM of Fractions is 426405.Finally, LCM of Fractions for 8122/802, 3255/108 is 426405.