Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/258, 79/795 quickly i.e. 7031/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/258, 79/795 is 7031/3.
LCM(89/258, 79/795) = 7031/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/258,79/795
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 89,79
Least Common Multiple of Numerators i.e. LCM of 89,79 is 7031.
GCF of Denominators means GCF of 258,795 as per the given fractions.
GCF of 258,795 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 7031
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 89,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,79) x common factors =1 x 1 = 1
LCM(89,79) = ( 89 × 79 ) / 1
LCM(89,79) = 7031 / 1
LCM(89,79) = 7031
Lets's calculate GCF of 258,795
3 | 258, 795 |
86, 265 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7031/3
Therefore the LCM of Fractions 89/258,79/795 is 7031/3
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 258,795 . The biggest common factor number is the GCF number.
So the greatest common factor 258,795 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 89/258, 79/795?
Answer: LCM of Numerators as per given numbers 89/258, 79/795 is
LCM of Numerators i.e. for 89,79 is 7031
GCF of denominators i.e. for 258,795 is 3.
Thus, LCM of Fractions is 7031/3.Finally, LCM of Fractions for 89/258, 79/795 is 7031/3.