Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4492/723, 9604/6984 quickly i.e. 10785292/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4492/723, 9604/6984 is 10785292/3.
LCM(4492/723, 9604/6984) = 10785292/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4492/723,9604/6984
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 4492,9604
Least Common Multiple of Numerators i.e. LCM of 4492,9604 is 10785292.
GCF of Denominators means GCF of 723,6984 as per the given fractions.
GCF of 723,6984 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4492,9604
2 | 4492, 9604 |
2 | 2246, 4802 |
1123, 2401 |
∴ So the LCM of the given numbers is 2 x 2 x 1123 x 2401 = 10785292
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 4492,9604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4492,9604) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4492,9604) x common factors =4 x 1 = 4
LCM(4492,9604) = ( 4492 × 9604 ) / 4
LCM(4492,9604) = 43141168 / 4
LCM(4492,9604) = 10785292
Lets's calculate GCF of 723,6984
3 | 723, 6984 |
241, 2328 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10785292/3
Therefore the LCM of Fractions 4492/723,9604/6984 is 10785292/3
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 6984
List of positive integer factors of 6984 that divides 6984 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 723,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 723,6984 is 3.
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 4492/723, 9604/6984?
Answer: LCM of Numerators as per given numbers 4492/723, 9604/6984 is
LCM of Numerators i.e. for 4492,9604 is 10785292
GCF of denominators i.e. for 723,6984 is 3.
Thus, LCM of Fractions is 10785292/3.Finally, LCM of Fractions for 4492/723, 9604/6984 is 10785292/3.