Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 958/386, 302/336, 833/446 quickly i.e. 60250057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 958/386, 302/336, 833/446 is 60250057.
LCM(958/386, 302/336, 833/446) = 60250057
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 958/386,302/336,833/446
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 958,302,833
Least Common Multiple of Numerators i.e. LCM of 958,302,833 is 120500114.
GCF of Denominators means GCF of 386,336,446 as per the given fractions.
GCF of 386,336,446 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 958,302,833
2 | 958, 302, 833 |
479, 151, 833 |
∴ So the LCM of the given numbers is 2 x 479 x 151 x 833 = 120500114
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 958,302,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,302,833) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(958,302,833) x common factors =1 x 2 = 2
LCM(958,302,833) = ( 958 × 302 × 833 ) / 2
LCM(958,302,833) = 241000228 / 2
LCM(958,302,833) = 120500114
Lets's calculate GCF of 386,336,446
2 | 386, 336, 446 |
193, 168, 223 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120500114/2
Therefore the LCM of Fractions 958/386,302/336,833/446 is 60250057
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 386,336,446 . The biggest common factor number is the GCF number.
So the greatest common factor 386,336,446 is 2.
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 958/386, 302/336, 833/446?
Answer: LCM of Numerators as per given numbers 958/386, 302/336, 833/446 is
LCM of Numerators i.e. for 958,302,833 is 120500114
GCF of denominators i.e. for 386,336,446 is 2.
Thus, LCM of Fractions is 60250057.Finally, LCM of Fractions for 958/386, 302/336, 833/446 is 60250057.