Find the LCM of 159, 760, 806, 310, 424 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 159, 760, 806, 310, 424. So, keep reading to learn more.
Given numbers are 159,760,806,310,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,760,806,310,424 is 48698520.
Find LCM of 159,760,806,310,424 with Prime Factorization
2 | 159, 760, 806, 310, 424 |
2 | 159, 380, 403, 155, 212 |
2 | 159, 190, 403, 155, 106 |
5 | 159, 95, 403, 155, 53 |
31 | 159, 19, 403, 31, 53 |
53 | 159, 19, 13, 1, 53 |
3, 19, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 31 x 53 x 3 x 19 x 13 x 1 x 1 = 48698520
Therefore, the lowest common multiple of 159,760,806,310,424 is 48698520.
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.
159 x 760 x 806 x 310 x 424 = 12801866937600
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.
159 : 1, 3, 53, 159
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
806 : 1, 2, 13, 26, 31, 62, 403, 806
310 : 1, 2, 5, 10, 31, 62, 155, 310
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,760,806,310,424, is 1.
Now, the common factors can be found like this.
159:3x 53
760:2x 2x 2x 5x 19
806:2x 13x 31
310:2x 5x 31
424:2x 2x 2x 53
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 2x 5x 31x 53 = 262880
Therefore, the value for common factors is 262880.
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 = 12801866937600/(1x262880)
LCM = 12801866937600/262880
LCM = 48698520
Thus, we can understand that the LCM of 159,760,806,310,424 is 48698520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 760, 806, 310, 424?
Answer: LCM of 159, 760, 806, 310, 424 is 48698520.
2. How to calculate the LCM of 159, 760, 806, 310, 424?
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 159, 760, 806, 310, 424.
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}.