Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/37, 909/55, 757/443 quickly i.e. 15826599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/37, 909/55, 757/443 is 15826599.
LCM(23/37, 909/55, 757/443) = 15826599
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/37,909/55,757/443
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 23,909,757
Least Common Multiple of Numerators i.e. LCM of 23,909,757 is 15826599.
GCF of Denominators means GCF of 37,55,443 as per the given fractions.
GCF of 37,55,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,909,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 15826599
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 23,909,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,909,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,909,757) x common factors =1 x 1 = 1
LCM(23,909,757) = ( 23 × 909 × 757 ) / 1
LCM(23,909,757) = 15826599 / 1
LCM(23,909,757) = 15826599
Lets's calculate GCF of 37,55,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15826599/1
Therefore the LCM of Fractions 23/37,909/55,757/443 is 15826599
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 37,55,443 . The biggest common factor number is the GCF number.
So the greatest common factor 37,55,443 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 23/37, 909/55, 757/443?
Answer: LCM of Numerators as per given numbers 23/37, 909/55, 757/443 is
LCM of Numerators i.e. for 23,909,757 is 15826599
GCF of denominators i.e. for 37,55,443 is 1.
Thus, LCM of Fractions is 15826599.Finally, LCM of Fractions for 23/37, 909/55, 757/443 is 15826599.