LCM of 521, 728, 360, 480, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 728, 360, 480, 324 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 521, 728, 360, 480, 324. So, keep reading to learn more.
Given numbers are 521,728,360,480,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,728,360,480,324 is 614446560.
Find LCM of 521,728,360,480,324 with Prime Factorization
| 2 | 521, 728, 360, 480, 324 |
| 2 | 521, 364, 180, 240, 162 |
| 2 | 521, 182, 90, 120, 81 |
| 3 | 521, 91, 45, 60, 81 |
| 3 | 521, 91, 15, 20, 27 |
| 5 | 521, 91, 5, 20, 9 |
| 521, 91, 1, 4, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 521 x 91 x 1 x 4 x 9 = 614446560
Therefore, the lowest common multiple of 521,728,360,480,324 is 614446560.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
521 x 728 x 360 x 480 x 324 = 21235273113600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
521 : 1, 521
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,728,360,480,324, is 1.
Now, the common factors can be found like this.
521:521
728:2x 2x 2x 7x 13
360:2x 2x 2x 3x 3x 5
480:2x 2x 2x 2x 2x 3x 5
324:2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 5 = 34560
Therefore, the value for common factors is 34560.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 21235273113600/(1x34560)
LCM = 21235273113600/34560
LCM = 614446560
Thus, we can understand that the LCM of 521,728,360,480,324 is 614446560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 521, 728, 360, 480, 324
1. What is the LCM of 521, 728, 360, 480, 324?
Answer: LCM of 521, 728, 360, 480, 324 is 614446560.
2. How to calculate the LCM of 521, 728, 360, 480, 324?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 521, 728, 360, 480, 324.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.