LCM of 648, 715, 704, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 715, 704, 583 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 648, 715, 704, 583. So, keep reading to learn more.
Given numbers are 648,715,704,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,715,704,583 is 196447680.
Find LCM of 648,715,704,583 with Prime Factorization
| 2 | 648, 715, 704, 583 |
| 2 | 324, 715, 352, 583 |
| 2 | 162, 715, 176, 583 |
| 11 | 81, 715, 88, 583 |
| 81, 65, 8, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 81 x 65 x 8 x 53 = 196447680
Therefore, the lowest common multiple of 648,715,704,583 is 196447680.
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.
648 x 715 x 704 x 583 = 190161354240
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
715 : 1, 5, 11, 13, 55, 65, 143, 715
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,715,704,583, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
715:5x 11x 13
704:2x 2x 2x 2x 2x 2x 11
583:11x 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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 190161354240/(1x968)
LCM = 190161354240/968
LCM = 196447680
Thus, we can understand that the LCM of 648,715,704,583 is 196447680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 648, 715, 704, 583
1. What is the LCM of 648, 715, 704, 583?
Answer: LCM of 648, 715, 704, 583 is 196447680.
2. How to calculate the LCM of 648, 715, 704, 583?
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 648, 715, 704, 583.
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}.