LCM of 585, 412, 404, 895, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 412, 404, 895, 945 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 585, 412, 404, 895, 945. So, keep reading to learn more.
Given numbers are 585,412,404,895,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,412,404,895,945 is 91505412180.
Find LCM of 585,412,404,895,945 with Prime Factorization
| 2 | 585, 412, 404, 895, 945 |
| 2 | 585, 206, 202, 895, 945 |
| 3 | 585, 103, 101, 895, 945 |
| 3 | 195, 103, 101, 895, 315 |
| 5 | 65, 103, 101, 895, 105 |
| 13, 103, 101, 179, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 103 x 101 x 179 x 21 = 91505412180
Therefore, the lowest common multiple of 585,412,404,895,945 is 91505412180.
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.
585 x 412 x 404 x 895 x 945 = 82354870962000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
412 : 1, 2, 4, 103, 206, 412
404 : 1, 2, 4, 101, 202, 404
895 : 1, 5, 179, 895
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,412,404,895,945, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
412:2x 2x 103
404:2x 2x 101
895:5x 179
945:3x 3x 3x 5x 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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 82354870962000/(1x900)
LCM = 82354870962000/900
LCM = 91505412180
Thus, we can understand that the LCM of 585,412,404,895,945 is 91505412180.
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FAQs on LCM of 585, 412, 404, 895, 945
1. What is the LCM of 585, 412, 404, 895, 945?
Answer: LCM of 585, 412, 404, 895, 945 is 91505412180.
2. How to calculate the LCM of 585, 412, 404, 895, 945?
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 585, 412, 404, 895, 945.
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}.