Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/676, 94/566, 259/690 quickly i.e. 304325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/676, 94/566, 259/690 is 304325.
LCM(25/676, 94/566, 259/690) = 304325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/676,94/566,259/690
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 25,94,259
Least Common Multiple of Numerators i.e. LCM of 25,94,259 is 608650.
GCF of Denominators means GCF of 676,566,690 as per the given fractions.
GCF of 676,566,690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,94,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 608650
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 25,94,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,94,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,94,259) x common factors =1 x 1 = 1
LCM(25,94,259) = ( 25 × 94 × 259 ) / 1
LCM(25,94,259) = 608650 / 1
LCM(25,94,259) = 608650
Lets's calculate GCF of 676,566,690
2 | 676, 566, 690 |
338, 283, 345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608650/2
Therefore the LCM of Fractions 25/676,94/566,259/690 is 304325
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 676,566,690 . The biggest common factor number is the GCF number.
So the greatest common factor 676,566,690 is 2.
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 25/676, 94/566, 259/690?
Answer: LCM of Numerators as per given numbers 25/676, 94/566, 259/690 is
LCM of Numerators i.e. for 25,94,259 is 608650
GCF of denominators i.e. for 676,566,690 is 2.
Thus, LCM of Fractions is 304325.Finally, LCM of Fractions for 25/676, 94/566, 259/690 is 304325.