Find the LCM of 499, 187, 499, 391, 217 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, 187, 499, 391, 217. So, keep reading to learn more.
Given numbers are 499,187,499,391,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,187,499,391,217 is 465725183.
Find LCM of 499,187,499,391,217 with Prime Factorization
17 | 499, 187, 499, 391, 217 |
499 | 499, 11, 499, 23, 217 |
1, 11, 1, 23, 217 |
Multiply the prime numbers at the bottom and the left side.
17 x 499 x 1 x 11 x 1 x 23 x 217 = 465725183
Therefore, the lowest common multiple of 499,187,499,391,217 is 465725183.
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 187 x 499 x 391 x 217 = 3950746727389
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
187 : 1, 11, 17, 187
499 : 1, 499
391 : 1, 17, 23, 391
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,187,499,391,217, is 1.
Now, the common factors can be found like this.
499:499
187:11x 17
499:499
391:17x 23
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 499 = 8483
Therefore, the value for common factors is 8483.
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 = 3950746727389/(1x8483)
LCM = 3950746727389/8483
LCM = 465725183
Thus, we can understand that the LCM of 499,187,499,391,217 is 465725183.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 187, 499, 391, 217?
Answer: LCM of 499, 187, 499, 391, 217 is 465725183.
2. How to calculate the LCM of 499, 187, 499, 391, 217?
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, 187, 499, 391, 217.
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}.