LCM of 570, 462, 688, 642, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 462, 688, 642, 408 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 570, 462, 688, 642, 408. So, keep reading to learn more.
Given numbers are 570,462,688,642,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,462,688,642,408 is 27463553040.
Find LCM of 570,462,688,642,408 with Prime Factorization
| 2 | 570, 462, 688, 642, 408 |
| 2 | 285, 231, 344, 321, 204 |
| 2 | 285, 231, 172, 321, 102 |
| 3 | 285, 231, 86, 321, 51 |
| 95, 77, 86, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 95 x 77 x 86 x 107 x 17 = 27463553040
Therefore, the lowest common multiple of 570,462,688,642,408 is 27463553040.
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.
570 x 462 x 688 x 642 x 408 = 47457019653120
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
642 : 1, 2, 3, 6, 107, 214, 321, 642
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,462,688,642,408, is 2.
Now, the common factors can be found like this.
570:2x 3x 5x 19
462:2x 3x 7x 11
688:2x 2x 2x 2x 43
642:2x 3x 107
408:2x 2x 2x 3x 17
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 47457019653120/(2x864)
LCM = 47457019653120/1728
LCM = 27463553040
Thus, we can understand that the LCM of 570,462,688,642,408 is 27463553040.
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FAQs on LCM of 570, 462, 688, 642, 408
1. What is the LCM of 570, 462, 688, 642, 408?
Answer: LCM of 570, 462, 688, 642, 408 is 27463553040.
2. How to calculate the LCM of 570, 462, 688, 642, 408?
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 570, 462, 688, 642, 408.
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}.