Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8399/259, 1182/925 quickly i.e. 268314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8399/259, 1182/925 is 268314.
LCM(8399/259, 1182/925) = 268314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8399/259,1182/925
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 8399,1182
Least Common Multiple of Numerators i.e. LCM of 8399,1182 is 9927618.
GCF of Denominators means GCF of 259,925 as per the given fractions.
GCF of 259,925 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8399,1182
Given numbers has no common factors except 1. So, there LCM is their product i.e 9927618
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 8399,1182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8399,1182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8399,1182) x common factors =1 x 1 = 1
LCM(8399,1182) = ( 8399 × 1182 ) / 1
LCM(8399,1182) = 9927618 / 1
LCM(8399,1182) = 9927618
Lets's calculate GCF of 259,925
37 | 259, 925 |
7, 25 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9927618/37
Therefore the LCM of Fractions 8399/259,1182/925 is 268314
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 259,925 . The biggest common factor number is the GCF number.
So the greatest common factor 259,925 is 37.
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 8399/259, 1182/925?
Answer: LCM of Numerators as per given numbers 8399/259, 1182/925 is
LCM of Numerators i.e. for 8399,1182 is 9927618
GCF of denominators i.e. for 259,925 is 37.
Thus, LCM of Fractions is 268314.Finally, LCM of Fractions for 8399/259, 1182/925 is 268314.