LCM of 697, 704, 578, 832, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 704, 578, 832, 892 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 697, 704, 578, 832, 892. So, keep reading to learn more.
Given numbers are 697,704,578,832,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,704,578,832,892 is 24182576704.
Find LCM of 697,704,578,832,892 with Prime Factorization
| 2 | 697, 704, 578, 832, 892 |
| 2 | 697, 352, 289, 416, 446 |
| 2 | 697, 176, 289, 208, 223 |
| 2 | 697, 88, 289, 104, 223 |
| 2 | 697, 44, 289, 52, 223 |
| 2 | 697, 22, 289, 26, 223 |
| 17 | 697, 11, 289, 13, 223 |
| 41, 11, 17, 13, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 17 x 41 x 11 x 17 x 13 x 223 = 24182576704
Therefore, the lowest common multiple of 697,704,578,832,892 is 24182576704.
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.
697 x 704 x 578 x 832 x 892 = 210485147631616
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.
697 : 1, 17, 41, 697
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
578 : 1, 2, 17, 34, 289, 578
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,704,578,832,892, is 1.
Now, the common factors can be found like this.
697:17x 41
704:2x 2x 2x 2x 2x 2x 11
578:2x 17x 17
832:2x 2x 2x 2x 2x 2x 13
892:2x 2x 223
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 17 = 8704
Therefore, the value for common factors is 8704.
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 = 210485147631616/(1x8704)
LCM = 210485147631616/8704
LCM = 24182576704
Thus, we can understand that the LCM of 697,704,578,832,892 is 24182576704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 704, 578, 832, 892
1. What is the LCM of 697, 704, 578, 832, 892?
Answer: LCM of 697, 704, 578, 832, 892 is 24182576704.
2. How to calculate the LCM of 697, 704, 578, 832, 892?
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 697, 704, 578, 832, 892.
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}.