Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/424, 46/484, 480/968 quickly i.e. 146280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/424, 46/484, 480/968 is 146280.
LCM(53/424, 46/484, 480/968) = 146280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/424,46/484,480/968
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 53,46,480
Least Common Multiple of Numerators i.e. LCM of 53,46,480 is 585120.
GCF of Denominators means GCF of 424,484,968 as per the given fractions.
GCF of 424,484,968 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,46,480
2 | 53, 46, 480 |
53, 23, 240 |
∴ So the LCM of the given numbers is 2 x 53 x 23 x 240 = 585120
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 53,46,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,46,480) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,46,480) x common factors =1 x 2 = 2
LCM(53,46,480) = ( 53 × 46 × 480 ) / 2
LCM(53,46,480) = 1170240 / 2
LCM(53,46,480) = 585120
Lets's calculate GCF of 424,484,968
2 | 424, 484, 968 |
2 | 212, 242, 484 |
106, 121, 242 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585120/4
Therefore the LCM of Fractions 53/424,46/484,480/968 is 146280
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 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 424,484,968 . The biggest common factor number is the GCF number.
So the greatest common factor 424,484,968 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 53/424, 46/484, 480/968?
Answer: LCM of Numerators as per given numbers 53/424, 46/484, 480/968 is
LCM of Numerators i.e. for 53,46,480 is 585120
GCF of denominators i.e. for 424,484,968 is 4.
Thus, LCM of Fractions is 146280.Finally, LCM of Fractions for 53/424, 46/484, 480/968 is 146280.