Find the LCM of 993, 384, 447, 106, 240 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 993, 384, 447, 106, 240. So, keep reading to learn more.
Given numbers are 993,384,447,106,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,384,447,106,240 is 5018701440.
Find LCM of 993,384,447,106,240 with Prime Factorization
2 | 993, 384, 447, 106, 240 |
2 | 993, 192, 447, 53, 120 |
2 | 993, 96, 447, 53, 60 |
2 | 993, 48, 447, 53, 30 |
3 | 993, 24, 447, 53, 15 |
331, 8, 149, 53, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 331 x 8 x 149 x 53 x 5 = 5018701440
Therefore, the lowest common multiple of 993,384,447,106,240 is 5018701440.
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.
993 x 384 x 447 x 106 x 240 = 4336158044160
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.
993 : 1, 3, 331, 993
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
447 : 1, 3, 149, 447
106 : 1, 2, 53, 106
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,384,447,106,240, is 1.
Now, the common factors can be found like this.
993:3x 331
384:2x 2x 2x 2x 2x 2x 2x 3
447:3x 149
106:2x 53
240:2x 2x 2x 2x 3x 5
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 4336158044160/(1x864)
LCM = 4336158044160/864
LCM = 5018701440
Thus, we can understand that the LCM of 993,384,447,106,240 is 5018701440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 384, 447, 106, 240?
Answer: LCM of 993, 384, 447, 106, 240 is 5018701440.
2. How to calculate the LCM of 993, 384, 447, 106, 240?
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 993, 384, 447, 106, 240.
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}.