Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/350, 9011/9575 quickly i.e. 2396926/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/350, 9011/9575 is 2396926/25.
LCM(266/350, 9011/9575) = 2396926/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/350,9011/9575
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 266,9011
Least Common Multiple of Numerators i.e. LCM of 266,9011 is 2396926.
GCF of Denominators means GCF of 350,9575 as per the given fractions.
GCF of 350,9575 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,9011
Given numbers has no common factors except 1. So, there LCM is their product i.e 2396926
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 266,9011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,9011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,9011) x common factors =1 x 1 = 1
LCM(266,9011) = ( 266 × 9011 ) / 1
LCM(266,9011) = 2396926 / 1
LCM(266,9011) = 2396926
Lets's calculate GCF of 350,9575
5 | 350, 9575 |
5 | 70, 1915 |
14, 383 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2396926/25
Therefore the LCM of Fractions 266/350,9011/9575 is 2396926/25
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Greatest Common Factor
We found the factors 350,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 350,9575 is 25.
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 266/350, 9011/9575?
Answer: LCM of Numerators as per given numbers 266/350, 9011/9575 is
LCM of Numerators i.e. for 266,9011 is 2396926
GCF of denominators i.e. for 350,9575 is 25.
Thus, LCM of Fractions is 2396926/25.Finally, LCM of Fractions for 266/350, 9011/9575 is 2396926/25.