Find the LCM of 160, 365, 647, 806, 124 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 160, 365, 647, 806, 124. So, keep reading to learn more.
Given numbers are 160,365,647,806,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,365,647,806,124 is 3045454880.
Find LCM of 160,365,647,806,124 with Prime Factorization
2 | 160, 365, 647, 806, 124 |
2 | 80, 365, 647, 403, 62 |
5 | 40, 365, 647, 403, 31 |
31 | 8, 73, 647, 403, 31 |
8, 73, 647, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 8 x 73 x 647 x 13 x 1 = 3045454880
Therefore, the lowest common multiple of 160,365,647,806,124 is 3045454880.
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.
160 x 365 x 647 x 806 x 124 = 3776364051200
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
365 : 1, 5, 73, 365
647 : 1, 647
806 : 1, 2, 13, 26, 31, 62, 403, 806
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,365,647,806,124, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
365:5x 73
647:647
806:2x 13x 31
124:2x 2x 31
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 5x 31 = 1240
Therefore, the value for common factors is 1240.
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 = 3776364051200/(1x1240)
LCM = 3776364051200/1240
LCM = 3045454880
Thus, we can understand that the LCM of 160,365,647,806,124 is 3045454880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 160, 365, 647, 806, 124?
Answer: LCM of 160, 365, 647, 806, 124 is 3045454880.
2. How to calculate the LCM of 160, 365, 647, 806, 124?
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 160, 365, 647, 806, 124.
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}.