Find the LCM of 828, 117, 299, 363, 999 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 828, 117, 299, 363, 999. So, keep reading to learn more.
Given numbers are 828,117,299,363,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,117,299,363,999 is 144571284.
Find LCM of 828,117,299,363,999 with Prime Factorization
3 | 828, 117, 299, 363, 999 |
3 | 276, 39, 299, 121, 333 |
13 | 92, 13, 299, 121, 111 |
23 | 92, 1, 23, 121, 111 |
4, 1, 1, 121, 111 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 23 x 4 x 1 x 1 x 121 x 111 = 144571284
Therefore, the lowest common multiple of 828,117,299,363,999 is 144571284.
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.
828 x 117 x 299 x 363 x 999 = 10504115781588
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
117 : 1, 3, 9, 13, 39, 117
299 : 1, 13, 23, 299
363 : 1, 3, 11, 33, 121, 363
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,117,299,363,999, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
117:3x 3x 13
299:13x 23
363:3x 11x 11
999:3x 3x 3x 37
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 3x 3x 3x 13x 23 = 72657
Therefore, the value for common factors is 72657.
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 = 10504115781588/(1x72657)
LCM = 10504115781588/72657
LCM = 144571284
Thus, we can understand that the LCM of 828,117,299,363,999 is 144571284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 117, 299, 363, 999?
Answer: LCM of 828, 117, 299, 363, 999 is 144571284.
2. How to calculate the LCM of 828, 117, 299, 363, 999?
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 828, 117, 299, 363, 999.
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}.