Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/267, 5993/9701 quickly i.e. 329615/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/267, 5993/9701 is 329615/89.
LCM(55/267, 5993/9701) = 329615/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/267,5993/9701
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 55,5993
Least Common Multiple of Numerators i.e. LCM of 55,5993 is 329615.
GCF of Denominators means GCF of 267,9701 as per the given fractions.
GCF of 267,9701 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,5993
Given numbers has no common factors except 1. So, there LCM is their product i.e 329615
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 55,5993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,5993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,5993) x common factors =1 x 1 = 1
LCM(55,5993) = ( 55 × 5993 ) / 1
LCM(55,5993) = 329615 / 1
LCM(55,5993) = 329615
Lets's calculate GCF of 267,9701
89 | 267, 9701 |
3, 109 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329615/89
Therefore the LCM of Fractions 55/267,5993/9701 is 329615/89
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 9701
List of positive integer factors of 9701 that divides 9701 without a remainder.
1,89,109,9701
Greatest Common Factor
We found the factors 267,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 267,9701 is 89.
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 55/267, 5993/9701?
Answer: LCM of Numerators as per given numbers 55/267, 5993/9701 is
LCM of Numerators i.e. for 55,5993 is 329615
GCF of denominators i.e. for 267,9701 is 89.
Thus, LCM of Fractions is 329615/89.Finally, LCM of Fractions for 55/267, 5993/9701 is 329615/89.