LCM of 824, 998, 849, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 998, 849, 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 824, 998, 849, 499. So, keep reading to learn more.
Given numbers are 824,998,849,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,998,849,499 is 349088424.
Find LCM of 824,998,849,499 with Prime Factorization
| 2 | 824, 998, 849, 499 |
| 499 | 412, 499, 849, 499 |
| 412, 1, 849, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 412 x 1 x 849 x 1 = 349088424
Therefore, the lowest common multiple of 824,998,849,499 is 349088424.
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.
824 x 998 x 849 x 499 = 348390247152
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
998 : 1, 2, 499, 998
849 : 1, 3, 283, 849
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,998,849,499, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
998:2x 499
849:3x 283
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.
2x 499 = 998
Therefore, the value for common factors is 998.
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 = 348390247152/(1x998)
LCM = 348390247152/998
LCM = 349088424
Thus, we can understand that the LCM of 824,998,849,499 is 349088424.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 824, 998, 849, 499
1. What is the LCM of 824, 998, 849, 499?
Answer: LCM of 824, 998, 849, 499 is 349088424.
2. How to calculate the LCM of 824, 998, 849, 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 824, 998, 849, 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}.