Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/128, 9981/3134 quickly i.e. 948195/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/128, 9981/3134 is 948195/2.
LCM(95/128, 9981/3134) = 948195/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/128,9981/3134
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 95,9981
Least Common Multiple of Numerators i.e. LCM of 95,9981 is 948195.
GCF of Denominators means GCF of 128,3134 as per the given fractions.
GCF of 128,3134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,9981
Given numbers has no common factors except 1. So, there LCM is their product i.e 948195
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 95,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,9981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,9981) x common factors =1 x 1 = 1
LCM(95,9981) = ( 95 × 9981 ) / 1
LCM(95,9981) = 948195 / 1
LCM(95,9981) = 948195
Lets's calculate GCF of 128,3134
2 | 128, 3134 |
64, 1567 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 948195/2
Therefore the LCM of Fractions 95/128,9981/3134 is 948195/2
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 3134
List of positive integer factors of 3134 that divides 3134 without a remainder.
1,2,1567,3134
Greatest Common Factor
We found the factors 128,3134 . The biggest common factor number is the GCF number.
So the greatest common factor 128,3134 is 2.
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 95/128, 9981/3134?
Answer: LCM of Numerators as per given numbers 95/128, 9981/3134 is
LCM of Numerators i.e. for 95,9981 is 948195
GCF of denominators i.e. for 128,3134 is 2.
Thus, LCM of Fractions is 948195/2.Finally, LCM of Fractions for 95/128, 9981/3134 is 948195/2.