Find the LCM of 803, 736, 447, 484, 356 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 803, 736, 447, 484, 356. So, keep reading to learn more.
Given numbers are 803,736,447,484,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,736,447,484,356 is 258632783904.
Find LCM of 803,736,447,484,356 with Prime Factorization
2 | 803, 736, 447, 484, 356 |
2 | 803, 368, 447, 242, 178 |
11 | 803, 184, 447, 121, 89 |
73, 184, 447, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 73 x 184 x 447 x 11 x 89 = 258632783904
Therefore, the lowest common multiple of 803,736,447,484,356 is 258632783904.
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.
803 x 736 x 447 x 484 x 356 = 45519369967104
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.
803 : 1, 11, 73, 803
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
447 : 1, 3, 149, 447
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,736,447,484,356, is 1.
Now, the common factors can be found like this.
803:11x 73
736:2x 2x 2x 2x 2x 23
447:3x 149
484:2x 2x 11x 11
356:2x 2x 89
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 11 = 176
Therefore, the value for common factors is 176.
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 = 45519369967104/(1x176)
LCM = 45519369967104/176
LCM = 258632783904
Thus, we can understand that the LCM of 803,736,447,484,356 is 258632783904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 736, 447, 484, 356?
Answer: LCM of 803, 736, 447, 484, 356 is 258632783904.
2. How to calculate the LCM of 803, 736, 447, 484, 356?
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 803, 736, 447, 484, 356.
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}.