Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/853, 72/250, 728/184 quickly i.e. 6552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/853, 72/250, 728/184 is 6552.
LCM(91/853, 72/250, 728/184) = 6552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/853,72/250,728/184
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 91,72,728
Least Common Multiple of Numerators i.e. LCM of 91,72,728 is 6552.
GCF of Denominators means GCF of 853,250,184 as per the given fractions.
GCF of 853,250,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,72,728
2 | 91, 72, 728 |
2 | 91, 36, 364 |
2 | 91, 18, 182 |
7 | 91, 9, 91 |
13 | 13, 9, 13 |
1, 9, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 1 x 9 x 1 = 6552
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 91,72,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,72,728) = 1
common factors(in case of two or more numbers have common factors) = 728
GCF(91,72,728) x common factors =1 x 728 = 728
LCM(91,72,728) = ( 91 × 72 × 728 ) / 728
LCM(91,72,728) = 4769856 / 728
LCM(91,72,728) = 6552
Lets's calculate GCF of 853,250,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6552/1
Therefore the LCM of Fractions 91/853,72/250,728/184 is 6552
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 853,250,184 . The biggest common factor number is the GCF number.
So the greatest common factor 853,250,184 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 91/853, 72/250, 728/184?
Answer: LCM of Numerators as per given numbers 91/853, 72/250, 728/184 is
LCM of Numerators i.e. for 91,72,728 is 6552
GCF of denominators i.e. for 853,250,184 is 1.
Thus, LCM of Fractions is 6552.Finally, LCM of Fractions for 91/853, 72/250, 728/184 is 6552.