Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 258/323, 9326/706 quickly i.e. 1203054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 258/323, 9326/706 is 1203054.
LCM(258/323, 9326/706) = 1203054
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 258/323,9326/706
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 258,9326
Least Common Multiple of Numerators i.e. LCM of 258,9326 is 1203054.
GCF of Denominators means GCF of 323,706 as per the given fractions.
GCF of 323,706 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 258,9326
2 | 258, 9326 |
129, 4663 |
∴ So the LCM of the given numbers is 2 x 129 x 4663 = 1203054
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 258,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,9326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,9326) x common factors =2 x 1 = 2
LCM(258,9326) = ( 258 × 9326 ) / 2
LCM(258,9326) = 2406108 / 2
LCM(258,9326) = 1203054
Lets's calculate GCF of 323,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1203054/1
Therefore the LCM of Fractions 258/323,9326/706 is 1203054
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 323,706 . The biggest common factor number is the GCF number.
So the greatest common factor 323,706 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 258/323, 9326/706?
Answer: LCM of Numerators as per given numbers 258/323, 9326/706 is
LCM of Numerators i.e. for 258,9326 is 1203054
GCF of denominators i.e. for 323,706 is 1.
Thus, LCM of Fractions is 1203054.Finally, LCM of Fractions for 258/323, 9326/706 is 1203054.