Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/955, 190/326, 747/824 quickly i.e. 3264390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/955, 190/326, 747/824 is 3264390.
LCM(23/955, 190/326, 747/824) = 3264390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/955,190/326,747/824
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 23,190,747
Least Common Multiple of Numerators i.e. LCM of 23,190,747 is 3264390.
GCF of Denominators means GCF of 955,326,824 as per the given fractions.
GCF of 955,326,824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,190,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 3264390
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 23,190,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,190,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,190,747) x common factors =1 x 1 = 1
LCM(23,190,747) = ( 23 × 190 × 747 ) / 1
LCM(23,190,747) = 3264390 / 1
LCM(23,190,747) = 3264390
Lets's calculate GCF of 955,326,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3264390/1
Therefore the LCM of Fractions 23/955,190/326,747/824 is 3264390
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 955,326,824 . The biggest common factor number is the GCF number.
So the greatest common factor 955,326,824 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 23/955, 190/326, 747/824?
Answer: LCM of Numerators as per given numbers 23/955, 190/326, 747/824 is
LCM of Numerators i.e. for 23,190,747 is 3264390
GCF of denominators i.e. for 955,326,824 is 1.
Thus, LCM of Fractions is 3264390.Finally, LCM of Fractions for 23/955, 190/326, 747/824 is 3264390.