Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4290/797, 9576/5503 quickly i.e. 6846840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4290/797, 9576/5503 is 6846840.
LCM(4290/797, 9576/5503) = 6846840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4290/797,9576/5503
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 4290,9576
Least Common Multiple of Numerators i.e. LCM of 4290,9576 is 6846840.
GCF of Denominators means GCF of 797,5503 as per the given fractions.
GCF of 797,5503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4290,9576
2 | 4290, 9576 |
3 | 2145, 4788 |
715, 1596 |
∴ So the LCM of the given numbers is 2 x 3 x 715 x 1596 = 6846840
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 4290,9576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4290,9576) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(4290,9576) x common factors =6 x 1 = 6
LCM(4290,9576) = ( 4290 × 9576 ) / 6
LCM(4290,9576) = 41081040 / 6
LCM(4290,9576) = 6846840
Lets's calculate GCF of 797,5503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6846840/1
Therefore the LCM of Fractions 4290/797,9576/5503 is 6846840
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 5503
List of positive integer factors of 5503 that divides 5503 without a remainder.
1,5503
Greatest Common Factor
We found the factors 797,5503 . The biggest common factor number is the GCF number.
So the greatest common factor 797,5503 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 4290/797, 9576/5503?
Answer: LCM of Numerators as per given numbers 4290/797, 9576/5503 is
LCM of Numerators i.e. for 4290,9576 is 6846840
GCF of denominators i.e. for 797,5503 is 1.
Thus, LCM of Fractions is 6846840.Finally, LCM of Fractions for 4290/797, 9576/5503 is 6846840.