Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 822/44, 843/8760 quickly i.e. 230982/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 822/44, 843/8760 is 230982/4.
LCM(822/44, 843/8760) = 230982/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 822/44,843/8760
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 822,843
Least Common Multiple of Numerators i.e. LCM of 822,843 is 230982.
GCF of Denominators means GCF of 44,8760 as per the given fractions.
GCF of 44,8760 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 822,843
3 | 822, 843 |
274, 281 |
∴ So the LCM of the given numbers is 3 x 274 x 281 = 230982
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 822,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,843) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(822,843) x common factors =3 x 1 = 3
LCM(822,843) = ( 822 × 843 ) / 3
LCM(822,843) = 692946 / 3
LCM(822,843) = 230982
Lets's calculate GCF of 44,8760
2 | 44, 8760 |
2 | 22, 4380 |
11, 2190 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230982/4
Therefore the LCM of Fractions 822/44,843/8760 is 230982/4
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 8760
List of positive integer factors of 8760 that divides 8760 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 44,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 44,8760 is 4.
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 822/44, 843/8760?
Answer: LCM of Numerators as per given numbers 822/44, 843/8760 is
LCM of Numerators i.e. for 822,843 is 230982
GCF of denominators i.e. for 44,8760 is 4.
Thus, LCM of Fractions is 230982/4.Finally, LCM of Fractions for 822/44, 843/8760 is 230982/4.