Find the LCM of 396, 160, 698, 670, 789 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 396, 160, 698, 670, 789. So, keep reading to learn more.
Given numbers are 396,160,698,670,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,160,698,670,789 is 97411707360.
Find LCM of 396,160,698,670,789 with Prime Factorization
2 | 396, 160, 698, 670, 789 |
2 | 198, 80, 349, 335, 789 |
3 | 99, 40, 349, 335, 789 |
5 | 33, 40, 349, 335, 263 |
33, 8, 349, 67, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 33 x 8 x 349 x 67 x 263 = 97411707360
Therefore, the lowest common multiple of 396,160,698,670,789 is 97411707360.
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.
396 x 160 x 698 x 670 x 789 = 23378809766400
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
698 : 1, 2, 349, 698
670 : 1, 2, 5, 10, 67, 134, 335, 670
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,160,698,670,789, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
160:2x 2x 2x 2x 2x 5
698:2x 349
670:2x 5x 67
789:3x 263
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 23378809766400/(1x240)
LCM = 23378809766400/240
LCM = 97411707360
Thus, we can understand that the LCM of 396,160,698,670,789 is 97411707360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 160, 698, 670, 789?
Answer: LCM of 396, 160, 698, 670, 789 is 97411707360.
2. How to calculate the LCM of 396, 160, 698, 670, 789?
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 396, 160, 698, 670, 789.
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}.