LCM of 864, 363, 672, 363, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 363, 672, 363, 928 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 864, 363, 672, 363, 928. So, keep reading to learn more.
Given numbers are 864,363,672,363,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,363,672,363,928 is 21222432.
Find LCM of 864,363,672,363,928 with Prime Factorization
| 2 | 864, 363, 672, 363, 928 |
| 2 | 432, 363, 336, 363, 464 |
| 2 | 216, 363, 168, 363, 232 |
| 2 | 108, 363, 84, 363, 116 |
| 2 | 54, 363, 42, 363, 58 |
| 3 | 27, 363, 21, 363, 29 |
| 11 | 9, 121, 7, 121, 29 |
| 11 | 9, 11, 7, 11, 29 |
| 9, 1, 7, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 9 x 1 x 7 x 1 x 29 = 21222432
Therefore, the lowest common multiple of 864,363,672,363,928 is 21222432.
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.
864 x 363 x 672 x 363 x 928 = 70997693792256
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
363 : 1, 3, 11, 33, 121, 363
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
363 : 1, 3, 11, 33, 121, 363
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,363,672,363,928, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
363:3x 11x 11
672:2x 2x 2x 2x 2x 3x 7
363:3x 11x 11
928:2x 2x 2x 2x 2x 29
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 3x 3x 3x 11x 11 = 3345408
Therefore, the value for common factors is 3345408.
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 = 70997693792256/(1x3345408)
LCM = 70997693792256/3345408
LCM = 21222432
Thus, we can understand that the LCM of 864,363,672,363,928 is 21222432.
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FAQs on LCM of 864, 363, 672, 363, 928
1. What is the LCM of 864, 363, 672, 363, 928?
Answer: LCM of 864, 363, 672, 363, 928 is 21222432.
2. How to calculate the LCM of 864, 363, 672, 363, 928?
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 864, 363, 672, 363, 928.
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}.