Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/75, 578/3930 quickly i.e. 257210/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/75, 578/3930 is 257210/15.
LCM(890/75, 578/3930) = 257210/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/75,578/3930
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 890,578
Least Common Multiple of Numerators i.e. LCM of 890,578 is 257210.
GCF of Denominators means GCF of 75,3930 as per the given fractions.
GCF of 75,3930 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,578
2 | 890, 578 |
445, 289 |
∴ So the LCM of the given numbers is 2 x 445 x 289 = 257210
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 890,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,578) x common factors =2 x 1 = 2
LCM(890,578) = ( 890 × 578 ) / 2
LCM(890,578) = 514420 / 2
LCM(890,578) = 257210
Lets's calculate GCF of 75,3930
3 | 75, 3930 |
5 | 25, 1310 |
5, 262 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257210/15
Therefore the LCM of Fractions 890/75,578/3930 is 257210/15
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 3930
List of positive integer factors of 3930 that divides 3930 without a remainder.
1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930
Greatest Common Factor
We found the factors 75,3930 . The biggest common factor number is the GCF number.
So the greatest common factor 75,3930 is 15.
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 890/75, 578/3930?
Answer: LCM of Numerators as per given numbers 890/75, 578/3930 is
LCM of Numerators i.e. for 890,578 is 257210
GCF of denominators i.e. for 75,3930 is 15.
Thus, LCM of Fractions is 257210/15.Finally, LCM of Fractions for 890/75, 578/3930 is 257210/15.