LCM of 712, 568, 828, 704, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 568, 828, 704, 768 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 712, 568, 828, 704, 768. So, keep reading to learn more.
Given numbers are 712,568,828,704,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,568,828,704,768 is 3683420928.
Find LCM of 712,568,828,704,768 with Prime Factorization
| 2 | 712, 568, 828, 704, 768 |
| 2 | 356, 284, 414, 352, 384 |
| 2 | 178, 142, 207, 176, 192 |
| 2 | 89, 71, 207, 88, 96 |
| 2 | 89, 71, 207, 44, 48 |
| 2 | 89, 71, 207, 22, 24 |
| 3 | 89, 71, 207, 11, 12 |
| 89, 71, 69, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 89 x 71 x 69 x 11 x 4 = 3683420928
Therefore, the lowest common multiple of 712,568,828,704,768 is 3683420928.
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.
712 x 568 x 828 x 704 x 768 = 181047505453056
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
568 : 1, 2, 4, 8, 71, 142, 284, 568
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,568,828,704,768, is 4.
Now, the common factors can be found like this.
712:2x 2x 2x 89
568:2x 2x 2x 71
828:2x 2x 3x 3x 23
704:2x 2x 2x 2x 2x 2x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 2x 2x 2x 2x 3 = 12288
Therefore, the value for common factors is 12288.
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 = 181047505453056/(4x12288)
LCM = 181047505453056/49152
LCM = 3683420928
Thus, we can understand that the LCM of 712,568,828,704,768 is 3683420928.
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FAQs on LCM of 712, 568, 828, 704, 768
1. What is the LCM of 712, 568, 828, 704, 768?
Answer: LCM of 712, 568, 828, 704, 768 is 3683420928.
2. How to calculate the LCM of 712, 568, 828, 704, 768?
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 712, 568, 828, 704, 768.
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}.