Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/26, 23/749, 94/225 quickly i.e. 10810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/26, 23/749, 94/225 is 10810.
LCM(5/26, 23/749, 94/225) = 10810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/26,23/749,94/225
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 5,23,94
Least Common Multiple of Numerators i.e. LCM of 5,23,94 is 10810.
GCF of Denominators means GCF of 26,749,225 as per the given fractions.
GCF of 26,749,225 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,23,94
Given numbers has no common factors except 1. So, there LCM is their product i.e 10810
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 5,23,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,23,94) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,23,94) x common factors =1 x 1 = 1
LCM(5,23,94) = ( 5 × 23 × 94 ) / 1
LCM(5,23,94) = 10810 / 1
LCM(5,23,94) = 10810
Lets's calculate GCF of 26,749,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10810/1
Therefore the LCM of Fractions 5/26,23/749,94/225 is 10810
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 26,749,225 . The biggest common factor number is the GCF number.
So the greatest common factor 26,749,225 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 5/26, 23/749, 94/225?
Answer: LCM of Numerators as per given numbers 5/26, 23/749, 94/225 is
LCM of Numerators i.e. for 5,23,94 is 10810
GCF of denominators i.e. for 26,749,225 is 1.
Thus, LCM of Fractions is 10810.Finally, LCM of Fractions for 5/26, 23/749, 94/225 is 10810.