LCM of 896, 704, 699, 925, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 704, 699, 925, 404 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 896, 704, 699, 925, 404. So, keep reading to learn more.
Given numbers are 896,704,699,925,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,704,699,925,404 is 643636963200.
Find LCM of 896,704,699,925,404 with Prime Factorization
| 2 | 896, 704, 699, 925, 404 |
| 2 | 448, 352, 699, 925, 202 |
| 2 | 224, 176, 699, 925, 101 |
| 2 | 112, 88, 699, 925, 101 |
| 2 | 56, 44, 699, 925, 101 |
| 2 | 28, 22, 699, 925, 101 |
| 14, 11, 699, 925, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 14 x 11 x 699 x 925 x 101 = 643636963200
Therefore, the lowest common multiple of 896,704,699,925,404 is 643636963200.
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.
896 x 704 x 699 x 925 x 404 = 164771062579200
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
699 : 1, 3, 233, 699
925 : 1, 5, 25, 37, 185, 925
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,704,699,925,404, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
704:2x 2x 2x 2x 2x 2x 11
699:3x 233
925:5x 5x 37
404:2x 2x 101
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 2 = 256
Therefore, the value for common factors is 256.
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 = 164771062579200/(1x256)
LCM = 164771062579200/256
LCM = 643636963200
Thus, we can understand that the LCM of 896,704,699,925,404 is 643636963200.
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FAQs on LCM of 896, 704, 699, 925, 404
1. What is the LCM of 896, 704, 699, 925, 404?
Answer: LCM of 896, 704, 699, 925, 404 is 643636963200.
2. How to calculate the LCM of 896, 704, 699, 925, 404?
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 896, 704, 699, 925, 404.
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}.