Find the LCM of 704, 735, 652, 440, 687 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 704, 735, 652, 440, 687. So, keep reading to learn more.
Given numbers are 704,735,652,440,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,735,652,440,687 is 19314482880.
Find LCM of 704,735,652,440,687 with Prime Factorization
2 | 704, 735, 652, 440, 687 |
2 | 352, 735, 326, 220, 687 |
2 | 176, 735, 163, 110, 687 |
3 | 88, 735, 163, 55, 687 |
5 | 88, 245, 163, 55, 229 |
11 | 88, 49, 163, 11, 229 |
8, 49, 163, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 8 x 49 x 163 x 1 x 229 = 19314482880
Therefore, the lowest common multiple of 704,735,652,440,687 is 19314482880.
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.
704 x 735 x 652 x 440 x 687 = 101980469606400
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
652 : 1, 2, 4, 163, 326, 652
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,735,652,440,687, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
735:3x 5x 7x 7
652:2x 2x 163
440:2x 2x 2x 5x 11
687:3x 229
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 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 101980469606400/(1x5280)
LCM = 101980469606400/5280
LCM = 19314482880
Thus, we can understand that the LCM of 704,735,652,440,687 is 19314482880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 735, 652, 440, 687?
Answer: LCM of 704, 735, 652, 440, 687 is 19314482880.
2. How to calculate the LCM of 704, 735, 652, 440, 687?
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 704, 735, 652, 440, 687.
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}.