LCM of 926, 926, 286, 404, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 926, 286, 404, 728 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 926, 926, 286, 404, 728. So, keep reading to learn more.
Given numbers are 926,926,286,404,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,926,286,404,728 is 374478104.
Find LCM of 926,926,286,404,728 with Prime Factorization
| 2 | 926, 926, 286, 404, 728 |
| 2 | 463, 463, 143, 202, 364 |
| 13 | 463, 463, 143, 101, 182 |
| 463 | 463, 463, 11, 101, 14 |
| 1, 1, 11, 101, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 463 x 1 x 1 x 11 x 101 x 14 = 374478104
Therefore, the lowest common multiple of 926,926,286,404,728 is 374478104.
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.
926 x 926 x 286 x 404 x 728 = 72127478655232
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.
926 : 1, 2, 463, 926
926 : 1, 2, 463, 926
286 : 1, 2, 11, 13, 22, 26, 143, 286
404 : 1, 2, 4, 101, 202, 404
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,926,286,404,728, is 2.
Now, the common factors can be found like this.
926:2x 463
926:2x 463
286:2x 11x 13
404:2x 2x 101
728:2x 2x 2x 7x 13
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 13x 463 = 96304
Therefore, the value for common factors is 96304.
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 = 72127478655232/(2x96304)
LCM = 72127478655232/192608
LCM = 374478104
Thus, we can understand that the LCM of 926,926,286,404,728 is 374478104.
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FAQs on LCM of 926, 926, 286, 404, 728
1. What is the LCM of 926, 926, 286, 404, 728?
Answer: LCM of 926, 926, 286, 404, 728 is 374478104.
2. How to calculate the LCM of 926, 926, 286, 404, 728?
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 926, 926, 286, 404, 728.
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}.