Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/80, 25/16, 36/618 quickly i.e. 21150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/80, 25/16, 36/618 is 21150.
LCM(94/80, 25/16, 36/618) = 21150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/80,25/16,36/618
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 94,25,36
Least Common Multiple of Numerators i.e. LCM of 94,25,36 is 42300.
GCF of Denominators means GCF of 80,16,618 as per the given fractions.
GCF of 80,16,618 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,25,36
2 | 94, 25, 36 |
47, 25, 18 |
∴ So the LCM of the given numbers is 2 x 47 x 25 x 18 = 42300
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 94,25,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,25,36) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,25,36) x common factors =1 x 2 = 2
LCM(94,25,36) = ( 94 × 25 × 36 ) / 2
LCM(94,25,36) = 84600 / 2
LCM(94,25,36) = 42300
Lets's calculate GCF of 80,16,618
2 | 80, 16, 618 |
40, 8, 309 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42300/2
Therefore the LCM of Fractions 94/80,25/16,36/618 is 21150
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 80,16,618 . The biggest common factor number is the GCF number.
So the greatest common factor 80,16,618 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 94/80, 25/16, 36/618?
Answer: LCM of Numerators as per given numbers 94/80, 25/16, 36/618 is
LCM of Numerators i.e. for 94,25,36 is 42300
GCF of denominators i.e. for 80,16,618 is 2.
Thus, LCM of Fractions is 21150.Finally, LCM of Fractions for 94/80, 25/16, 36/618 is 21150.