Find the LCM of 768, 749, 329, 899, 493 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 768, 749, 329, 899, 493. So, keep reading to learn more.
Given numbers are 768,749,329,899,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,749,329,899,493 is 413189720832.
Find LCM of 768,749,329,899,493 with Prime Factorization
7 | 768, 749, 329, 899, 493 |
29 | 768, 107, 47, 899, 493 |
768, 107, 47, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 768 x 107 x 47 x 31 x 17 = 413189720832
Therefore, the lowest common multiple of 768,749,329,899,493 is 413189720832.
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.
768 x 749 x 329 x 899 x 493 = 83877513328896
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
749 : 1, 7, 107, 749
329 : 1, 7, 47, 329
899 : 1, 29, 31, 899
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,749,329,899,493, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
749:7x 107
329:7x 47
899:29x 31
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 83877513328896/(1x203)
LCM = 83877513328896/203
LCM = 413189720832
Thus, we can understand that the LCM of 768,749,329,899,493 is 413189720832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 768, 749, 329, 899, 493?
Answer: LCM of 768, 749, 329, 899, 493 is 413189720832.
2. How to calculate the LCM of 768, 749, 329, 899, 493?
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 768, 749, 329, 899, 493.
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}.