Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 573/162, 5735/6499 quickly i.e. 3286155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 573/162, 5735/6499 is 3286155.
LCM(573/162, 5735/6499) = 3286155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 573/162,5735/6499
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 573,5735
Least Common Multiple of Numerators i.e. LCM of 573,5735 is 3286155.
GCF of Denominators means GCF of 162,6499 as per the given fractions.
GCF of 162,6499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 573,5735
Given numbers has no common factors except 1. So, there LCM is their product i.e 3286155
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 573,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,5735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,5735) x common factors =1 x 1 = 1
LCM(573,5735) = ( 573 × 5735 ) / 1
LCM(573,5735) = 3286155 / 1
LCM(573,5735) = 3286155
Lets's calculate GCF of 162,6499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3286155/1
Therefore the LCM of Fractions 573/162,5735/6499 is 3286155
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1,67,97,6499
Greatest Common Factor
We found the factors 162,6499 . The biggest common factor number is the GCF number.
So the greatest common factor 162,6499 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 573/162, 5735/6499?
Answer: LCM of Numerators as per given numbers 573/162, 5735/6499 is
LCM of Numerators i.e. for 573,5735 is 3286155
GCF of denominators i.e. for 162,6499 is 1.
Thus, LCM of Fractions is 3286155.Finally, LCM of Fractions for 573/162, 5735/6499 is 3286155.