Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9040/704, 4361/888 quickly i.e. 4927930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9040/704, 4361/888 is 4927930.
LCM(9040/704, 4361/888) = 4927930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9040/704,4361/888
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 9040,4361
Least Common Multiple of Numerators i.e. LCM of 9040,4361 is 39423440.
GCF of Denominators means GCF of 704,888 as per the given fractions.
GCF of 704,888 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9040,4361
Given numbers has no common factors except 1. So, there LCM is their product i.e 39423440
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 9040,4361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9040,4361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9040,4361) x common factors =1 x 1 = 1
LCM(9040,4361) = ( 9040 × 4361 ) / 1
LCM(9040,4361) = 39423440 / 1
LCM(9040,4361) = 39423440
Lets's calculate GCF of 704,888
2 | 704, 888 |
2 | 352, 444 |
2 | 176, 222 |
88, 111 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39423440/8
Therefore the LCM of Fractions 9040/704,4361/888 is 4927930
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 704,888 . The biggest common factor number is the GCF number.
So the greatest common factor 704,888 is 8.
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 9040/704, 4361/888?
Answer: LCM of Numerators as per given numbers 9040/704, 4361/888 is
LCM of Numerators i.e. for 9040,4361 is 39423440
GCF of denominators i.e. for 704,888 is 8.
Thus, LCM of Fractions is 4927930.Finally, LCM of Fractions for 9040/704, 4361/888 is 4927930.