Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4230/545, 4358/9591 quickly i.e. 9217170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4230/545, 4358/9591 is 9217170.
LCM(4230/545, 4358/9591) = 9217170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4230/545,4358/9591
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 4230,4358
Least Common Multiple of Numerators i.e. LCM of 4230,4358 is 9217170.
GCF of Denominators means GCF of 545,9591 as per the given fractions.
GCF of 545,9591 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4230,4358
2 | 4230, 4358 |
2115, 2179 |
∴ So the LCM of the given numbers is 2 x 2115 x 2179 = 9217170
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 4230,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4230,4358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4230,4358) x common factors =2 x 1 = 2
LCM(4230,4358) = ( 4230 × 4358 ) / 2
LCM(4230,4358) = 18434340 / 2
LCM(4230,4358) = 9217170
Lets's calculate GCF of 545,9591
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9217170/1
Therefore the LCM of Fractions 4230/545,4358/9591 is 9217170
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1,3,23,69,139,417,3197,9591
Greatest Common Factor
We found the factors 545,9591 . The biggest common factor number is the GCF number.
So the greatest common factor 545,9591 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 4230/545, 4358/9591?
Answer: LCM of Numerators as per given numbers 4230/545, 4358/9591 is
LCM of Numerators i.e. for 4230,4358 is 9217170
GCF of denominators i.e. for 545,9591 is 1.
Thus, LCM of Fractions is 9217170.Finally, LCM of Fractions for 4230/545, 4358/9591 is 9217170.