Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 545/45, 683/5131 quickly i.e. 372235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 545/45, 683/5131 is 372235.
LCM(545/45, 683/5131) = 372235
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 545/45,683/5131
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 545,683
Least Common Multiple of Numerators i.e. LCM of 545,683 is 372235.
GCF of Denominators means GCF of 45,5131 as per the given fractions.
GCF of 45,5131 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 545,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 372235
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 545,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,683) x common factors =1 x 1 = 1
LCM(545,683) = ( 545 × 683 ) / 1
LCM(545,683) = 372235 / 1
LCM(545,683) = 372235
Lets's calculate GCF of 45,5131
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372235/1
Therefore the LCM of Fractions 545/45,683/5131 is 372235
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 5131
List of positive integer factors of 5131 that divides 5131 without a remainder.
1,7,733,5131
Greatest Common Factor
We found the factors 45,5131 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5131 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 545/45, 683/5131?
Answer: LCM of Numerators as per given numbers 545/45, 683/5131 is
LCM of Numerators i.e. for 545,683 is 372235
GCF of denominators i.e. for 45,5131 is 1.
Thus, LCM of Fractions is 372235.Finally, LCM of Fractions for 545/45, 683/5131 is 372235.