Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/76, 843/36, 965/324 quickly i.e. 521450295/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/76, 843/36, 965/324 is 521450295/4.
LCM(641/76, 843/36, 965/324) = 521450295/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/76,843/36,965/324
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 641,843,965
Least Common Multiple of Numerators i.e. LCM of 641,843,965 is 521450295.
GCF of Denominators means GCF of 76,36,324 as per the given fractions.
GCF of 76,36,324 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,843,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 521450295
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 641,843,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,843,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,843,965) x common factors =1 x 1 = 1
LCM(641,843,965) = ( 641 × 843 × 965 ) / 1
LCM(641,843,965) = 521450295 / 1
LCM(641,843,965) = 521450295
Lets's calculate GCF of 76,36,324
2 | 76, 36, 324 |
2 | 38, 18, 162 |
19, 9, 81 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521450295/4
Therefore the LCM of Fractions 641/76,843/36,965/324 is 521450295/4
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 76,36,324 . The biggest common factor number is the GCF number.
So the greatest common factor 76,36,324 is 4.
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 641/76, 843/36, 965/324?
Answer: LCM of Numerators as per given numbers 641/76, 843/36, 965/324 is
LCM of Numerators i.e. for 641,843,965 is 521450295
GCF of denominators i.e. for 76,36,324 is 4.
Thus, LCM of Fractions is 521450295/4.Finally, LCM of Fractions for 641/76, 843/36, 965/324 is 521450295/4.