LCM of 826, 493, 289, 728, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 493, 289, 728, 776 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 826, 493, 289, 728, 776. So, keep reading to learn more.
Given numbers are 826,493,289,728,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,493,289,728,776 is 34918129064.
Find LCM of 826,493,289,728,776 with Prime Factorization
| 2 | 826, 493, 289, 728, 776 |
| 2 | 413, 493, 289, 364, 388 |
| 2 | 413, 493, 289, 182, 194 |
| 7 | 413, 493, 289, 91, 97 |
| 17 | 59, 493, 289, 13, 97 |
| 59, 29, 17, 13, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 59 x 29 x 17 x 13 x 97 = 34918129064
Therefore, the lowest common multiple of 826,493,289,728,776 is 34918129064.
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.
826 x 493 x 289 x 728 x 776 = 66484117737856
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
493 : 1, 17, 29, 493
289 : 1, 17, 289
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,493,289,728,776, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
493:17x 29
289:17x 17
728:2x 2x 2x 7x 13
776:2x 2x 2x 97
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 7x 17 = 1904
Therefore, the value for common factors is 1904.
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 = 66484117737856/(1x1904)
LCM = 66484117737856/1904
LCM = 34918129064
Thus, we can understand that the LCM of 826,493,289,728,776 is 34918129064.
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FAQs on LCM of 826, 493, 289, 728, 776
1. What is the LCM of 826, 493, 289, 728, 776?
Answer: LCM of 826, 493, 289, 728, 776 is 34918129064.
2. How to calculate the LCM of 826, 493, 289, 728, 776?
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 826, 493, 289, 728, 776.
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}.