LCM of 407, 507, 468, 518, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 507, 468, 518, 490 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 407, 507, 468, 518, 490. So, keep reading to learn more.
Given numbers are 407,507,468,518,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,507,468,518,490 is 606666060.
Find LCM of 407,507,468,518,490 with Prime Factorization
| 2 | 407, 507, 468, 518, 490 |
| 3 | 407, 507, 234, 259, 245 |
| 7 | 407, 169, 78, 259, 245 |
| 13 | 407, 169, 78, 37, 35 |
| 37 | 407, 13, 6, 37, 35 |
| 11, 13, 6, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 37 x 11 x 13 x 6 x 1 x 35 = 606666060
Therefore, the lowest common multiple of 407,507,468,518,490 is 606666060.
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.
407 x 507 x 468 x 518 x 490 = 24511735488240
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.
407 : 1, 11, 37, 407
507 : 1, 3, 13, 39, 169, 507
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
518 : 1, 2, 7, 14, 37, 74, 259, 518
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,507,468,518,490, is 1.
Now, the common factors can be found like this.
407:11x 37
507:3x 13x 13
468:2x 2x 3x 3x 13
518:2x 7x 37
490:2x 5x 7x 7
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 3x 7x 13x 37 = 40404
Therefore, the value for common factors is 40404.
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 = 24511735488240/(1x40404)
LCM = 24511735488240/40404
LCM = 606666060
Thus, we can understand that the LCM of 407,507,468,518,490 is 606666060.
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FAQs on LCM of 407, 507, 468, 518, 490
1. What is the LCM of 407, 507, 468, 518, 490?
Answer: LCM of 407, 507, 468, 518, 490 is 606666060.
2. How to calculate the LCM of 407, 507, 468, 518, 490?
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 407, 507, 468, 518, 490.
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}.