Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/939, 958/446, 157/230 quickly i.e. 6317052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/939, 958/446, 157/230 is 6317052.
LCM(84/939, 958/446, 157/230) = 6317052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/939,958/446,157/230
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 84,958,157
Least Common Multiple of Numerators i.e. LCM of 84,958,157 is 6317052.
GCF of Denominators means GCF of 939,446,230 as per the given fractions.
GCF of 939,446,230 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,958,157
2 | 84, 958, 157 |
42, 479, 157 |
∴ So the LCM of the given numbers is 2 x 42 x 479 x 157 = 6317052
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 84,958,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,958,157) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(84,958,157) x common factors =1 x 2 = 2
LCM(84,958,157) = ( 84 × 958 × 157 ) / 2
LCM(84,958,157) = 12634104 / 2
LCM(84,958,157) = 6317052
Lets's calculate GCF of 939,446,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6317052/1
Therefore the LCM of Fractions 84/939,958/446,157/230 is 6317052
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 939,446,230 . The biggest common factor number is the GCF number.
So the greatest common factor 939,446,230 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 84/939, 958/446, 157/230?
Answer: LCM of Numerators as per given numbers 84/939, 958/446, 157/230 is
LCM of Numerators i.e. for 84,958,157 is 6317052
GCF of denominators i.e. for 939,446,230 is 1.
Thus, LCM of Fractions is 6317052.Finally, LCM of Fractions for 84/939, 958/446, 157/230 is 6317052.