LCM of 897, 320, 404, 286, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 320, 404, 286, 606 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 897, 320, 404, 286, 606. So, keep reading to learn more.
Given numbers are 897,320,404,286,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,320,404,286,606 is 318901440.
Find LCM of 897,320,404,286,606 with Prime Factorization
| 2 | 897, 320, 404, 286, 606 |
| 2 | 897, 160, 202, 143, 303 |
| 3 | 897, 80, 101, 143, 303 |
| 13 | 299, 80, 101, 143, 101 |
| 101 | 23, 80, 101, 11, 101 |
| 23, 80, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 101 x 23 x 80 x 1 x 11 x 1 = 318901440
Therefore, the lowest common multiple of 897,320,404,286,606 is 318901440.
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.
897 x 320 x 404 x 286 x 606 = 20098444354560
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
404 : 1, 2, 4, 101, 202, 404
286 : 1, 2, 11, 13, 22, 26, 143, 286
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,320,404,286,606, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
320:2x 2x 2x 2x 2x 2x 5
404:2x 2x 101
286:2x 11x 13
606:2x 3x 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 3x 13x 101 = 63024
Therefore, the value for common factors is 63024.
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 = 20098444354560/(1x63024)
LCM = 20098444354560/63024
LCM = 318901440
Thus, we can understand that the LCM of 897,320,404,286,606 is 318901440.
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FAQs on LCM of 897, 320, 404, 286, 606
1. What is the LCM of 897, 320, 404, 286, 606?
Answer: LCM of 897, 320, 404, 286, 606 is 318901440.
2. How to calculate the LCM of 897, 320, 404, 286, 606?
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 897, 320, 404, 286, 606.
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}.