Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/424, 390/273, 484/130 quickly i.e. 755040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/424, 390/273, 484/130 is 755040.
LCM(96/424, 390/273, 484/130) = 755040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/424,390/273,484/130
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 96,390,484
Least Common Multiple of Numerators i.e. LCM of 96,390,484 is 755040.
GCF of Denominators means GCF of 424,273,130 as per the given fractions.
GCF of 424,273,130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,390,484
2 | 96, 390, 484 |
2 | 48, 195, 242 |
3 | 24, 195, 121 |
8, 65, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 65 x 121 = 755040
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 96,390,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,390,484) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(96,390,484) x common factors =2 x 12 = 24
LCM(96,390,484) = ( 96 × 390 × 484 ) / 24
LCM(96,390,484) = 18120960 / 24
LCM(96,390,484) = 755040
Lets's calculate GCF of 424,273,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 755040/1
Therefore the LCM of Fractions 96/424,390/273,484/130 is 755040
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 424,273,130 . The biggest common factor number is the GCF number.
So the greatest common factor 424,273,130 is 1.
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 96/424, 390/273, 484/130?
Answer: LCM of Numerators as per given numbers 96/424, 390/273, 484/130 is
LCM of Numerators i.e. for 96,390,484 is 755040
GCF of denominators i.e. for 424,273,130 is 1.
Thus, LCM of Fractions is 755040.Finally, LCM of Fractions for 96/424, 390/273, 484/130 is 755040.