Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 155/27, 968/8937 quickly i.e. 150040/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 155/27, 968/8937 is 150040/27.
LCM(155/27, 968/8937) = 150040/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 155/27,968/8937
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 155,968
Least Common Multiple of Numerators i.e. LCM of 155,968 is 150040.
GCF of Denominators means GCF of 27,8937 as per the given fractions.
GCF of 27,8937 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 155,968
Given numbers has no common factors except 1. So, there LCM is their product i.e 150040
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 155,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,968) x common factors =1 x 1 = 1
LCM(155,968) = ( 155 × 968 ) / 1
LCM(155,968) = 150040 / 1
LCM(155,968) = 150040
Lets's calculate GCF of 27,8937
3 | 27, 8937 |
3 | 9, 2979 |
3 | 3, 993 |
1, 331 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150040/27
Therefore the LCM of Fractions 155/27,968/8937 is 150040/27
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Greatest Common Factor
We found the factors 27,8937 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8937 is 27.
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 155/27, 968/8937?
Answer: LCM of Numerators as per given numbers 155/27, 968/8937 is
LCM of Numerators i.e. for 155,968 is 150040
GCF of denominators i.e. for 27,8937 is 27.
Thus, LCM of Fractions is 150040/27.Finally, LCM of Fractions for 155/27, 968/8937 is 150040/27.