Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/457, 932/576, 210/839 quickly i.e. 1272180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/457, 932/576, 210/839 is 1272180.
LCM(91/457, 932/576, 210/839) = 1272180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/457,932/576,210/839
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 91,932,210
Least Common Multiple of Numerators i.e. LCM of 91,932,210 is 1272180.
GCF of Denominators means GCF of 457,576,839 as per the given fractions.
GCF of 457,576,839 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,932,210
2 | 91, 932, 210 |
7 | 91, 466, 105 |
13, 466, 15 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 466 x 15 = 1272180
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 91,932,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,932,210) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(91,932,210) x common factors =1 x 14 = 14
LCM(91,932,210) = ( 91 × 932 × 210 ) / 14
LCM(91,932,210) = 17810520 / 14
LCM(91,932,210) = 1272180
Lets's calculate GCF of 457,576,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1272180/1
Therefore the LCM of Fractions 91/457,932/576,210/839 is 1272180
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 457,576,839 . The biggest common factor number is the GCF number.
So the greatest common factor 457,576,839 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 91/457, 932/576, 210/839?
Answer: LCM of Numerators as per given numbers 91/457, 932/576, 210/839 is
LCM of Numerators i.e. for 91,932,210 is 1272180
GCF of denominators i.e. for 457,576,839 is 1.
Thus, LCM of Fractions is 1272180.Finally, LCM of Fractions for 91/457, 932/576, 210/839 is 1272180.