Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 259/931, 4389/822 quickly i.e. 162393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 259/931, 4389/822 is 162393.
LCM(259/931, 4389/822) = 162393
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 259/931,4389/822
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 259,4389
Least Common Multiple of Numerators i.e. LCM of 259,4389 is 162393.
GCF of Denominators means GCF of 931,822 as per the given fractions.
GCF of 931,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 259,4389
7 | 259, 4389 |
37, 627 |
∴ So the LCM of the given numbers is 7 x 37 x 627 = 162393
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 259,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,4389) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(259,4389) x common factors =7 x 1 = 7
LCM(259,4389) = ( 259 × 4389 ) / 7
LCM(259,4389) = 1136751 / 7
LCM(259,4389) = 162393
Lets's calculate GCF of 931,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162393/1
Therefore the LCM of Fractions 259/931,4389/822 is 162393
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 931,822 . The biggest common factor number is the GCF number.
So the greatest common factor 931,822 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 259/931, 4389/822?
Answer: LCM of Numerators as per given numbers 259/931, 4389/822 is
LCM of Numerators i.e. for 259,4389 is 162393
GCF of denominators i.e. for 931,822 is 1.
Thus, LCM of Fractions is 162393.Finally, LCM of Fractions for 259/931, 4389/822 is 162393.