Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/205, 672/850, 823/387 quickly i.e. 7189728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/205, 672/850, 823/387 is 7189728.
LCM(91/205, 672/850, 823/387) = 7189728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/205,672/850,823/387
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 91,672,823
Least Common Multiple of Numerators i.e. LCM of 91,672,823 is 7189728.
GCF of Denominators means GCF of 205,850,387 as per the given fractions.
GCF of 205,850,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,672,823
7 | 91, 672, 823 |
13, 96, 823 |
∴ So the LCM of the given numbers is 7 x 13 x 96 x 823 = 7189728
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 91,672,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,672,823) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,672,823) x common factors =1 x 7 = 7
LCM(91,672,823) = ( 91 × 672 × 823 ) / 7
LCM(91,672,823) = 50328096 / 7
LCM(91,672,823) = 7189728
Lets's calculate GCF of 205,850,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7189728/1
Therefore the LCM of Fractions 91/205,672/850,823/387 is 7189728
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 205,850,387 . The biggest common factor number is the GCF number.
So the greatest common factor 205,850,387 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 91/205, 672/850, 823/387?
Answer: LCM of Numerators as per given numbers 91/205, 672/850, 823/387 is
LCM of Numerators i.e. for 91,672,823 is 7189728
GCF of denominators i.e. for 205,850,387 is 1.
Thus, LCM of Fractions is 7189728.Finally, LCM of Fractions for 91/205, 672/850, 823/387 is 7189728.