Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/473, 932/653, 515/868 quickly i.e. 43678180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/473, 932/653, 515/868 is 43678180.
LCM(91/473, 932/653, 515/868) = 43678180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/473,932/653,515/868
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 91,932,515
Least Common Multiple of Numerators i.e. LCM of 91,932,515 is 43678180.
GCF of Denominators means GCF of 473,653,868 as per the given fractions.
GCF of 473,653,868 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,932,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 43678180
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 91,932,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,932,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,932,515) x common factors =1 x 1 = 1
LCM(91,932,515) = ( 91 × 932 × 515 ) / 1
LCM(91,932,515) = 43678180 / 1
LCM(91,932,515) = 43678180
Lets's calculate GCF of 473,653,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43678180/1
Therefore the LCM of Fractions 91/473,932/653,515/868 is 43678180
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 473,653,868 . The biggest common factor number is the GCF number.
So the greatest common factor 473,653,868 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 91/473, 932/653, 515/868?
Answer: LCM of Numerators as per given numbers 91/473, 932/653, 515/868 is
LCM of Numerators i.e. for 91,932,515 is 43678180
GCF of denominators i.e. for 473,653,868 is 1.
Thus, LCM of Fractions is 43678180.Finally, LCM of Fractions for 91/473, 932/653, 515/868 is 43678180.