LCM of 296, 671, 704, 384, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 671, 704, 384, 276 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 296, 671, 704, 384, 276. So, keep reading to learn more.
Given numbers are 296,671,704,384,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,671,704,384,276 is 219272064.
Find LCM of 296,671,704,384,276 with Prime Factorization
| 2 | 296, 671, 704, 384, 276 |
| 2 | 148, 671, 352, 192, 138 |
| 2 | 74, 671, 176, 96, 69 |
| 2 | 37, 671, 88, 48, 69 |
| 2 | 37, 671, 44, 24, 69 |
| 2 | 37, 671, 22, 12, 69 |
| 3 | 37, 671, 11, 6, 69 |
| 11 | 37, 671, 11, 2, 23 |
| 37, 61, 1, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 37 x 61 x 1 x 2 x 23 = 219272064
Therefore, the lowest common multiple of 296,671,704,384,276 is 219272064.
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.
296 x 671 x 704 x 384 x 276 = 14819283173376
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
671 : 1, 11, 61, 671
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,671,704,384,276, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
671:11x 61
704:2x 2x 2x 2x 2x 2x 11
384:2x 2x 2x 2x 2x 2x 2x 3
276:2x 2x 3x 23
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 2x 2x 3x 11 = 67584
Therefore, the value for common factors is 67584.
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 = 14819283173376/(1x67584)
LCM = 14819283173376/67584
LCM = 219272064
Thus, we can understand that the LCM of 296,671,704,384,276 is 219272064.
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FAQs on LCM of 296, 671, 704, 384, 276
1. What is the LCM of 296, 671, 704, 384, 276?
Answer: LCM of 296, 671, 704, 384, 276 is 219272064.
2. How to calculate the LCM of 296, 671, 704, 384, 276?
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 296, 671, 704, 384, 276.
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}.