LCM of 9, 499, 567, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9, 499, 567, 998 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 9, 499, 567, 998. So, keep reading to learn more.
Given numbers are 9,499,567,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,499,567,998 is 565866.
Find LCM of 9,499,567,998 with Prime Factorization
| 3 | 9, 499, 567, 998 |
| 3 | 3, 499, 189, 998 |
| 499 | 1, 499, 63, 998 |
| 1, 1, 63, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 499 x 1 x 1 x 63 x 2 = 565866
Therefore, the lowest common multiple of 9,499,567,998 is 565866.
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.
9 x 499 x 567 x 998 = 2541304206
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.
9 : 1, 3, 9
499 : 1, 499
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,499,567,998, is 1.
Now, the common factors can be found like this.
9:3x 3
499:499
567:3x 3x 3x 3x 7
998:2x 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 3x 499 = 4491
Therefore, the value for common factors is 4491.
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 = 2541304206/(1x4491)
LCM = 2541304206/4491
LCM = 565866
Thus, we can understand that the LCM of 9,499,567,998 is 565866.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 9, 499, 567, 998
1. What is the LCM of 9, 499, 567, 998?
Answer: LCM of 9, 499, 567, 998 is 565866.
2. How to calculate the LCM of 9, 499, 567, 998?
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 9, 499, 567, 998.
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}.