Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8979/818, 9442/880 quickly i.e. 42389859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8979/818, 9442/880 is 42389859.
LCM(8979/818, 9442/880) = 42389859
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8979/818,9442/880
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 8979,9442
Least Common Multiple of Numerators i.e. LCM of 8979,9442 is 84779718.
GCF of Denominators means GCF of 818,880 as per the given fractions.
GCF of 818,880 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8979,9442
Given numbers has no common factors except 1. So, there LCM is their product i.e 84779718
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 8979,9442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8979,9442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8979,9442) x common factors =1 x 1 = 1
LCM(8979,9442) = ( 8979 × 9442 ) / 1
LCM(8979,9442) = 84779718 / 1
LCM(8979,9442) = 84779718
Lets's calculate GCF of 818,880
2 | 818, 880 |
409, 440 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84779718/2
Therefore the LCM of Fractions 8979/818,9442/880 is 42389859
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 818,880 . The biggest common factor number is the GCF number.
So the greatest common factor 818,880 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 8979/818, 9442/880?
Answer: LCM of Numerators as per given numbers 8979/818, 9442/880 is
LCM of Numerators i.e. for 8979,9442 is 84779718
GCF of denominators i.e. for 818,880 is 2.
Thus, LCM of Fractions is 42389859.Finally, LCM of Fractions for 8979/818, 9442/880 is 42389859.