Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/144, 9257/5116 quickly i.e. 185140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/144, 9257/5116 is 185140.
LCM(80/144, 9257/5116) = 185140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/144,9257/5116
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 80,9257
Least Common Multiple of Numerators i.e. LCM of 80,9257 is 740560.
GCF of Denominators means GCF of 144,5116 as per the given fractions.
GCF of 144,5116 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,9257
Given numbers has no common factors except 1. So, there LCM is their product i.e 740560
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 80,9257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,9257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,9257) x common factors =1 x 1 = 1
LCM(80,9257) = ( 80 × 9257 ) / 1
LCM(80,9257) = 740560 / 1
LCM(80,9257) = 740560
Lets's calculate GCF of 144,5116
2 | 144, 5116 |
2 | 72, 2558 |
36, 1279 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 740560/4
Therefore the LCM of Fractions 80/144,9257/5116 is 185140
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 5116
List of positive integer factors of 5116 that divides 5116 without a remainder.
1,2,4,1279,2558,5116
Greatest Common Factor
We found the factors 144,5116 . The biggest common factor number is the GCF number.
So the greatest common factor 144,5116 is 4.
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 80/144, 9257/5116?
Answer: LCM of Numerators as per given numbers 80/144, 9257/5116 is
LCM of Numerators i.e. for 80,9257 is 740560
GCF of denominators i.e. for 144,5116 is 4.
Thus, LCM of Fractions is 185140.Finally, LCM of Fractions for 80/144, 9257/5116 is 185140.