LCM of 499, 368, 102, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 368, 102, 184 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, 368, 102, 184. So, keep reading to learn more.
Given numbers are 499,368,102,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,368,102,184 is 9365232.
Find LCM of 499,368,102,184 with Prime Factorization
| 2 | 499, 368, 102, 184 |
| 2 | 499, 184, 51, 92 |
| 2 | 499, 46, 51, 92 |
| 23 | 499, 23, 51, 46 |
| 499, 1, 51, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 499 x 1 x 51 x 2 = 9365232
Therefore, the lowest common multiple of 499,368,102,184 is 9365232.
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 368 x 102 x 184 = 3446405376
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
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
102 : 1, 2, 3, 6, 17, 34, 51, 102
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,368,102,184, is 1.
Now, the common factors can be found like this.
499:499
368:2x 2x 2x 2x 23
102:2x 3x 17
184:2x 2x 2x 23
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 23 = 368
Therefore, the value for common factors is 368.
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 = 3446405376/(1x368)
LCM = 3446405376/368
LCM = 9365232
Thus, we can understand that the LCM of 499,368,102,184 is 9365232.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 499, 368, 102, 184
1. What is the LCM of 499, 368, 102, 184?
Answer: LCM of 499, 368, 102, 184 is 9365232.
2. How to calculate the LCM of 499, 368, 102, 184?
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, 368, 102, 184.
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}.