LCM of 928, 384, 229, 394, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 384, 229, 394, 365 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 928, 384, 229, 394, 365. So, keep reading to learn more.
Given numbers are 928,384,229,394,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,384,229,394,365 is 183368104320.
Find LCM of 928,384,229,394,365 with Prime Factorization
| 2 | 928, 384, 229, 394, 365 |
| 2 | 464, 192, 229, 197, 365 |
| 2 | 232, 96, 229, 197, 365 |
| 2 | 116, 48, 229, 197, 365 |
| 2 | 58, 24, 229, 197, 365 |
| 29, 12, 229, 197, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 29 x 12 x 229 x 197 x 365 = 183368104320
Therefore, the lowest common multiple of 928,384,229,394,365 is 183368104320.
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.
928 x 384 x 229 x 394 x 365 = 11735558676480
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
229 : 1, 229
394 : 1, 2, 197, 394
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,384,229,394,365, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
384:2x 2x 2x 2x 2x 2x 2x 3
229:229
394:2x 197
365:5x 73
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 2 = 64
Therefore, the value for common factors is 64.
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 = 11735558676480/(1x64)
LCM = 11735558676480/64
LCM = 183368104320
Thus, we can understand that the LCM of 928,384,229,394,365 is 183368104320.
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FAQs on LCM of 928, 384, 229, 394, 365
1. What is the LCM of 928, 384, 229, 394, 365?
Answer: LCM of 928, 384, 229, 394, 365 is 183368104320.
2. How to calculate the LCM of 928, 384, 229, 394, 365?
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 928, 384, 229, 394, 365.
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}.