Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 790/973, 8833/440 quickly i.e. 6978070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 790/973, 8833/440 is 6978070.
LCM(790/973, 8833/440) = 6978070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 790/973,8833/440
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 790,8833
Least Common Multiple of Numerators i.e. LCM of 790,8833 is 6978070.
GCF of Denominators means GCF of 973,440 as per the given fractions.
GCF of 973,440 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 790,8833
Given numbers has no common factors except 1. So, there LCM is their product i.e 6978070
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 790,8833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,8833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,8833) x common factors =1 x 1 = 1
LCM(790,8833) = ( 790 × 8833 ) / 1
LCM(790,8833) = 6978070 / 1
LCM(790,8833) = 6978070
Lets's calculate GCF of 973,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6978070/1
Therefore the LCM of Fractions 790/973,8833/440 is 6978070
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 973,440 . The biggest common factor number is the GCF number.
So the greatest common factor 973,440 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 790/973, 8833/440?
Answer: LCM of Numerators as per given numbers 790/973, 8833/440 is
LCM of Numerators i.e. for 790,8833 is 6978070
GCF of denominators i.e. for 973,440 is 1.
Thus, LCM of Fractions is 6978070.Finally, LCM of Fractions for 790/973, 8833/440 is 6978070.