LCM of 285, 585, 507, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 585, 507, 328 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 285, 585, 507, 328. So, keep reading to learn more.
Given numbers are 285,585,507,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,585,507,328 is 47394360.
Find LCM of 285,585,507,328 with Prime Factorization
| 3 | 285, 585, 507, 328 |
| 5 | 95, 195, 169, 328 |
| 13 | 19, 39, 169, 328 |
| 19, 3, 13, 328 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 19 x 3 x 13 x 328 = 47394360
Therefore, the lowest common multiple of 285,585,507,328 is 47394360.
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.
285 x 585 x 507 x 328 = 27725700600
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
507 : 1, 3, 13, 39, 169, 507
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,585,507,328, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
585:3x 3x 5x 13
507:3x 13x 13
328:2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 27725700600/(1x585)
LCM = 27725700600/585
LCM = 47394360
Thus, we can understand that the LCM of 285,585,507,328 is 47394360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 285, 585, 507, 328
1. What is the LCM of 285, 585, 507, 328?
Answer: LCM of 285, 585, 507, 328 is 47394360.
2. How to calculate the LCM of 285, 585, 507, 328?
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 285, 585, 507, 328.
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}.