LCM of 408, 607, 806, 310, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 607, 806, 310, 745 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 408, 607, 806, 310, 745. So, keep reading to learn more.
Given numbers are 408,607,806,310,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,607,806,310,745 is 74354999160.
Find LCM of 408,607,806,310,745 with Prime Factorization
| 2 | 408, 607, 806, 310, 745 |
| 5 | 204, 607, 403, 155, 745 |
| 31 | 204, 607, 403, 31, 149 |
| 204, 607, 13, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 204 x 607 x 13 x 1 x 149 = 74354999160
Therefore, the lowest common multiple of 408,607,806,310,745 is 74354999160.
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.
408 x 607 x 806 x 310 x 745 = 46100099479200
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
607 : 1, 607
806 : 1, 2, 13, 26, 31, 62, 403, 806
310 : 1, 2, 5, 10, 31, 62, 155, 310
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,607,806,310,745, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
607:607
806:2x 13x 31
310:2x 5x 31
745:5x 149
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 5x 31 = 620
Therefore, the value for common factors is 620.
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 = 46100099479200/(1x620)
LCM = 46100099479200/620
LCM = 74354999160
Thus, we can understand that the LCM of 408,607,806,310,745 is 74354999160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 408, 607, 806, 310, 745
1. What is the LCM of 408, 607, 806, 310, 745?
Answer: LCM of 408, 607, 806, 310, 745 is 74354999160.
2. How to calculate the LCM of 408, 607, 806, 310, 745?
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 408, 607, 806, 310, 745.
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}.