Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 389/674, 888/503, 926/256 quickly i.e. 159935016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 389/674, 888/503, 926/256 is 159935016.
LCM(389/674, 888/503, 926/256) = 159935016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 389/674,888/503,926/256
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 389,888,926
Least Common Multiple of Numerators i.e. LCM of 389,888,926 is 159935016.
GCF of Denominators means GCF of 674,503,256 as per the given fractions.
GCF of 674,503,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 389,888,926
2 | 389, 888, 926 |
389, 444, 463 |
∴ So the LCM of the given numbers is 2 x 389 x 444 x 463 = 159935016
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 389,888,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,888,926) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(389,888,926) x common factors =1 x 2 = 2
LCM(389,888,926) = ( 389 × 888 × 926 ) / 2
LCM(389,888,926) = 319870032 / 2
LCM(389,888,926) = 159935016
Lets's calculate GCF of 674,503,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159935016/1
Therefore the LCM of Fractions 389/674,888/503,926/256 is 159935016
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 674,503,256 . The biggest common factor number is the GCF number.
So the greatest common factor 674,503,256 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 389/674, 888/503, 926/256?
Answer: LCM of Numerators as per given numbers 389/674, 888/503, 926/256 is
LCM of Numerators i.e. for 389,888,926 is 159935016
GCF of denominators i.e. for 674,503,256 is 1.
Thus, LCM of Fractions is 159935016.Finally, LCM of Fractions for 389/674, 888/503, 926/256 is 159935016.