Find the LCM of 143, 793, 752, 715 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 143, 793, 752, 715. So, keep reading to learn more.
Given numbers are 143,793,752,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,793,752,715 is 32798480.
Find LCM of 143,793,752,715 with Prime Factorization
11 | 143, 793, 752, 715 |
13 | 13, 793, 752, 65 |
1, 61, 752, 5 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 1 x 61 x 752 x 5 = 32798480
Therefore, the lowest common multiple of 143,793,752,715 is 32798480.
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.
143 x 793 x 752 x 715 = 60972374320
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.
143 : 1, 11, 13, 143
793 : 1, 13, 61, 793
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,793,752,715, is 1.
Now, the common factors can be found like this.
143:11x 13
793:13x 61
752:2x 2x 2x 2x 47
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 13 = 1859
Therefore, the value for common factors is 1859.
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 = 60972374320/(1x1859)
LCM = 60972374320/1859
LCM = 32798480
Thus, we can understand that the LCM of 143,793,752,715 is 32798480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 793, 752, 715?
Answer: LCM of 143, 793, 752, 715 is 32798480.
2. How to calculate the LCM of 143, 793, 752, 715?
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 143, 793, 752, 715.
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}.