Find the LCM of 986, 370, 816, 768, 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 986, 370, 816, 768, 999. So, keep reading to learn more.
Given numbers are 986,370,816,768,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,370,816,768,999 is 630408960.
Find LCM of 986,370,816,768,999 with Prime Factorization
2 | 986, 370, 816, 768, 999 |
2 | 493, 185, 408, 384, 999 |
2 | 493, 185, 204, 192, 999 |
2 | 493, 185, 102, 96, 999 |
3 | 493, 185, 51, 48, 999 |
17 | 493, 185, 17, 16, 333 |
37 | 29, 185, 1, 16, 333 |
29, 5, 1, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 37 x 29 x 5 x 1 x 16 x 9 = 630408960
Therefore, the lowest common multiple of 986,370,816,768,999 is 630408960.
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.
986 x 370 x 816 x 768 x 999 = 228399687843840
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
370 : 1, 2, 5, 10, 37, 74, 185, 370
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
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 986,370,816,768,999, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
370:2x 5x 37
816:2x 2x 2x 2x 3x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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.
2x 2x 2x 2x 2x 2x 3x 3x 17x 37 = 362304
Therefore, the value for common factors is 362304.
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 = 228399687843840/(1x362304)
LCM = 228399687843840/362304
LCM = 630408960
Thus, we can understand that the LCM of 986,370,816,768,999 is 630408960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 370, 816, 768, 999?
Answer: LCM of 986, 370, 816, 768, 999 is 630408960.
2. How to calculate the LCM of 986, 370, 816, 768, 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 986, 370, 816, 768, 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}.