LCM of 499, 391, 435, 585, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 391, 435, 585, 499 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 499, 391, 435, 585, 499. So, keep reading to learn more.
Given numbers are 499,391,435,585,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,391,435,585,499 is 3310024185.
Find LCM of 499,391,435,585,499 with Prime Factorization
| 3 | 499, 391, 435, 585, 499 |
| 5 | 499, 391, 145, 195, 499 |
| 499 | 499, 391, 29, 39, 499 |
| 1, 391, 29, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 499 x 1 x 391 x 29 x 39 x 1 = 3310024185
Therefore, the lowest common multiple of 499,391,435,585,499 is 3310024185.
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.
499 x 391 x 435 x 585 x 499 = 24775531024725
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.
499 : 1, 499
391 : 1, 17, 23, 391
435 : 1, 3, 5, 15, 29, 87, 145, 435
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,391,435,585,499, is 1.
Now, the common factors can be found like this.
499:499
391:17x 23
435:3x 5x 29
585:3x 3x 5x 13
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 499 = 7485
Therefore, the value for common factors is 7485.
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 = 24775531024725/(1x7485)
LCM = 24775531024725/7485
LCM = 3310024185
Thus, we can understand that the LCM of 499,391,435,585,499 is 3310024185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 391, 435, 585, 499
1. What is the LCM of 499, 391, 435, 585, 499?
Answer: LCM of 499, 391, 435, 585, 499 is 3310024185.
2. How to calculate the LCM of 499, 391, 435, 585, 499?
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 499, 391, 435, 585, 499.
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}.