LCM of 330, 515, 418, 540, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 515, 418, 540, 462 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 330, 515, 418, 540, 462. So, keep reading to learn more.
Given numbers are 330,515,418,540,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,515,418,540,462 is 81372060.
Find LCM of 330,515,418,540,462 with Prime Factorization
| 2 | 330, 515, 418, 540, 462 |
| 3 | 165, 515, 209, 270, 231 |
| 5 | 55, 515, 209, 90, 77 |
| 11 | 11, 103, 209, 18, 77 |
| 1, 103, 19, 18, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 103 x 19 x 18 x 7 = 81372060
Therefore, the lowest common multiple of 330,515,418,540,462 is 81372060.
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.
330 x 515 x 418 x 540 x 462 = 17722834668000
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
515 : 1, 5, 103, 515
418 : 1, 2, 11, 19, 22, 38, 209, 418
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,515,418,540,462, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
515:5x 103
418:2x 11x 19
540:2x 2x 3x 3x 3x 5
462:2x 3x 7x 11
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 3x 3x 5x 5x 11x 11 = 217800
Therefore, the value for common factors is 217800.
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 = 17722834668000/(1x217800)
LCM = 17722834668000/217800
LCM = 81372060
Thus, we can understand that the LCM of 330,515,418,540,462 is 81372060.
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FAQs on LCM of 330, 515, 418, 540, 462
1. What is the LCM of 330, 515, 418, 540, 462?
Answer: LCM of 330, 515, 418, 540, 462 is 81372060.
2. How to calculate the LCM of 330, 515, 418, 540, 462?
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 330, 515, 418, 540, 462.
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}.