LCM of 336, 687, 341, 544, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 687, 341, 544, 896 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 336, 687, 341, 544, 896. So, keep reading to learn more.
Given numbers are 336,687,341,544,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,687,341,544,896 is 3568354944.
Find LCM of 336,687,341,544,896 with Prime Factorization
| 2 | 336, 687, 341, 544, 896 |
| 2 | 168, 687, 341, 272, 448 |
| 2 | 84, 687, 341, 136, 224 |
| 2 | 42, 687, 341, 68, 112 |
| 2 | 21, 687, 341, 34, 56 |
| 3 | 21, 687, 341, 17, 28 |
| 7 | 7, 229, 341, 17, 28 |
| 1, 229, 341, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 229 x 341 x 17 x 4 = 3568354944
Therefore, the lowest common multiple of 336,687,341,544,896 is 3568354944.
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.
336 x 687 x 341 x 544 x 896 = 38366952357888
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
687 : 1, 3, 229, 687
341 : 1, 11, 31, 341
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,687,341,544,896, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
687:3x 229
341:11x 31
544:2x 2x 2x 2x 2x 17
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 38366952357888/(1x10752)
LCM = 38366952357888/10752
LCM = 3568354944
Thus, we can understand that the LCM of 336,687,341,544,896 is 3568354944.
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FAQs on LCM of 336, 687, 341, 544, 896
1. What is the LCM of 336, 687, 341, 544, 896?
Answer: LCM of 336, 687, 341, 544, 896 is 3568354944.
2. How to calculate the LCM of 336, 687, 341, 544, 896?
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 336, 687, 341, 544, 896.
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}.