Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/467, 907/551, 255/794 quickly i.e. 21046935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/467, 907/551, 255/794 is 21046935.
LCM(91/467, 907/551, 255/794) = 21046935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/467,907/551,255/794
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 91,907,255
Least Common Multiple of Numerators i.e. LCM of 91,907,255 is 21046935.
GCF of Denominators means GCF of 467,551,794 as per the given fractions.
GCF of 467,551,794 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,907,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 21046935
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 91,907,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,907,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,907,255) x common factors =1 x 1 = 1
LCM(91,907,255) = ( 91 × 907 × 255 ) / 1
LCM(91,907,255) = 21046935 / 1
LCM(91,907,255) = 21046935
Lets's calculate GCF of 467,551,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21046935/1
Therefore the LCM of Fractions 91/467,907/551,255/794 is 21046935
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 467,551,794 . The biggest common factor number is the GCF number.
So the greatest common factor 467,551,794 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 91/467, 907/551, 255/794?
Answer: LCM of Numerators as per given numbers 91/467, 907/551, 255/794 is
LCM of Numerators i.e. for 91,907,255 is 21046935
GCF of denominators i.e. for 467,551,794 is 1.
Thus, LCM of Fractions is 21046935.Finally, LCM of Fractions for 91/467, 907/551, 255/794 is 21046935.