Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/731, 8798/6680 quickly i.e. 360718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/731, 8798/6680 is 360718.
LCM(82/731, 8798/6680) = 360718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/731,8798/6680
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 82,8798
Least Common Multiple of Numerators i.e. LCM of 82,8798 is 360718.
GCF of Denominators means GCF of 731,6680 as per the given fractions.
GCF of 731,6680 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,8798
2 | 82, 8798 |
41, 4399 |
∴ So the LCM of the given numbers is 2 x 41 x 4399 = 360718
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 82,8798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,8798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,8798) x common factors =2 x 1 = 2
LCM(82,8798) = ( 82 × 8798 ) / 2
LCM(82,8798) = 721436 / 2
LCM(82,8798) = 360718
Lets's calculate GCF of 731,6680
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360718/1
Therefore the LCM of Fractions 82/731,8798/6680 is 360718
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Greatest Common Factor
We found the factors 731,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 731,6680 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 82/731, 8798/6680?
Answer: LCM of Numerators as per given numbers 82/731, 8798/6680 is
LCM of Numerators i.e. for 82,8798 is 360718
GCF of denominators i.e. for 731,6680 is 1.
Thus, LCM of Fractions is 360718.Finally, LCM of Fractions for 82/731, 8798/6680 is 360718.