Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/200, 245/323, 267/266 quickly i.e. 5756520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/200, 245/323, 267/266 is 5756520.
LCM(88/200, 245/323, 267/266) = 5756520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/200,245/323,267/266
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 88,245,267
Least Common Multiple of Numerators i.e. LCM of 88,245,267 is 5756520.
GCF of Denominators means GCF of 200,323,266 as per the given fractions.
GCF of 200,323,266 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,245,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 5756520
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 88,245,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,245,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,245,267) x common factors =1 x 1 = 1
LCM(88,245,267) = ( 88 × 245 × 267 ) / 1
LCM(88,245,267) = 5756520 / 1
LCM(88,245,267) = 5756520
Lets's calculate GCF of 200,323,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5756520/1
Therefore the LCM of Fractions 88/200,245/323,267/266 is 5756520
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 200,323,266 . The biggest common factor number is the GCF number.
So the greatest common factor 200,323,266 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 88/200, 245/323, 267/266?
Answer: LCM of Numerators as per given numbers 88/200, 245/323, 267/266 is
LCM of Numerators i.e. for 88,245,267 is 5756520
GCF of denominators i.e. for 200,323,266 is 1.
Thus, LCM of Fractions is 5756520.Finally, LCM of Fractions for 88/200, 245/323, 267/266 is 5756520.