Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/45, 689/5344 quickly i.e. 183274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/45, 689/5344 is 183274.
LCM(266/45, 689/5344) = 183274
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/45,689/5344
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 266,689
Least Common Multiple of Numerators i.e. LCM of 266,689 is 183274.
GCF of Denominators means GCF of 45,5344 as per the given fractions.
GCF of 45,5344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 183274
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 266,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,689) x common factors =1 x 1 = 1
LCM(266,689) = ( 266 × 689 ) / 1
LCM(266,689) = 183274 / 1
LCM(266,689) = 183274
Lets's calculate GCF of 45,5344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183274/1
Therefore the LCM of Fractions 266/45,689/5344 is 183274
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 5344
List of positive integer factors of 5344 that divides 5344 without a remainder.
1,2,4,8,16,32,167,334,668,1336,2672,5344
Greatest Common Factor
We found the factors 45,5344 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5344 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 266/45, 689/5344?
Answer: LCM of Numerators as per given numbers 266/45, 689/5344 is
LCM of Numerators i.e. for 266,689 is 183274
GCF of denominators i.e. for 45,5344 is 1.
Thus, LCM of Fractions is 183274.Finally, LCM of Fractions for 266/45, 689/5344 is 183274.