Find the LCM of 736, 481, 580, 702, 622 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 736, 481, 580, 702, 622. So, keep reading to learn more.
Given numbers are 736,481,580,702,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,481,580,702,622 is 431037491040.
Find LCM of 736,481,580,702,622 with Prime Factorization
2 | 736, 481, 580, 702, 622 |
2 | 368, 481, 290, 351, 311 |
13 | 184, 481, 145, 351, 311 |
184, 37, 145, 27, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 184 x 37 x 145 x 27 x 311 = 431037491040
Therefore, the lowest common multiple of 736,481,580,702,622 is 431037491040.
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.
736 x 481 x 580 x 702 x 622 = 89655798136320
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
481 : 1, 13, 37, 481
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,481,580,702,622, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
481:13x 37
580:2x 2x 5x 29
702:2x 3x 3x 3x 13
622:2x 311
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 13 = 208
Therefore, the value for common factors is 208.
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 = 89655798136320/(1x208)
LCM = 89655798136320/208
LCM = 431037491040
Thus, we can understand that the LCM of 736,481,580,702,622 is 431037491040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 481, 580, 702, 622?
Answer: LCM of 736, 481, 580, 702, 622 is 431037491040.
2. How to calculate the LCM of 736, 481, 580, 702, 622?
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 736, 481, 580, 702, 622.
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}.