LCM of 793, 579, 226, 368, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 579, 226, 368, 732 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 793, 579, 226, 368, 732. So, keep reading to learn more.
Given numbers are 793,579,226,368,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,579,226,368,732 is 19093168848.
Find LCM of 793,579,226,368,732 with Prime Factorization
| 2 | 793, 579, 226, 368, 732 |
| 2 | 793, 579, 113, 184, 366 |
| 3 | 793, 579, 113, 92, 183 |
| 61 | 793, 193, 113, 92, 61 |
| 13, 193, 113, 92, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 13 x 193 x 113 x 92 x 1 = 19093168848
Therefore, the lowest common multiple of 793,579,226,368,732 is 19093168848.
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.
793 x 579 x 226 x 368 x 732 = 27952399193472
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.
793 : 1, 13, 61, 793
579 : 1, 3, 193, 579
226 : 1, 2, 113, 226
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,579,226,368,732, is 1.
Now, the common factors can be found like this.
793:13x 61
579:3x 193
226:2x 113
368:2x 2x 2x 2x 23
732:2x 2x 3x 61
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 3x 61 = 1464
Therefore, the value for common factors is 1464.
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 = 27952399193472/(1x1464)
LCM = 27952399193472/1464
LCM = 19093168848
Thus, we can understand that the LCM of 793,579,226,368,732 is 19093168848.
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FAQs on LCM of 793, 579, 226, 368, 732
1. What is the LCM of 793, 579, 226, 368, 732?
Answer: LCM of 793, 579, 226, 368, 732 is 19093168848.
2. How to calculate the LCM of 793, 579, 226, 368, 732?
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 793, 579, 226, 368, 732.
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}.