Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/888, 3864/351 quickly i.e. 379960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/888, 3864/351 is 379960.
LCM(590/888, 3864/351) = 379960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/888,3864/351
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 590,3864
Least Common Multiple of Numerators i.e. LCM of 590,3864 is 1139880.
GCF of Denominators means GCF of 888,351 as per the given fractions.
GCF of 888,351 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,3864
2 | 590, 3864 |
295, 1932 |
∴ So the LCM of the given numbers is 2 x 295 x 1932 = 1139880
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 590,3864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,3864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,3864) x common factors =2 x 1 = 2
LCM(590,3864) = ( 590 × 3864 ) / 2
LCM(590,3864) = 2279760 / 2
LCM(590,3864) = 1139880
Lets's calculate GCF of 888,351
3 | 888, 351 |
296, 117 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1139880/3
Therefore the LCM of Fractions 590/888,3864/351 is 379960
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 888,351 . The biggest common factor number is the GCF number.
So the greatest common factor 888,351 is 3.
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 590/888, 3864/351?
Answer: LCM of Numerators as per given numbers 590/888, 3864/351 is
LCM of Numerators i.e. for 590,3864 is 1139880
GCF of denominators i.e. for 888,351 is 3.
Thus, LCM of Fractions is 379960.Finally, LCM of Fractions for 590/888, 3864/351 is 379960.