LCM of 416, 314, 404, 312, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 314, 404, 312, 897 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 416, 314, 404, 312, 897. So, keep reading to learn more.
Given numbers are 416,314,404,312,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,314,404,312,897 is 455159328.
Find LCM of 416,314,404,312,897 with Prime Factorization
| 2 | 416, 314, 404, 312, 897 |
| 2 | 208, 157, 202, 156, 897 |
| 2 | 104, 157, 101, 78, 897 |
| 3 | 52, 157, 101, 39, 897 |
| 13 | 52, 157, 101, 13, 299 |
| 4, 157, 101, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 4 x 157 x 101 x 1 x 23 = 455159328
Therefore, the lowest common multiple of 416,314,404,312,897 is 455159328.
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.
416 x 314 x 404 x 312 x 897 = 14769009874944
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
314 : 1, 2, 157, 314
404 : 1, 2, 4, 101, 202, 404
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,314,404,312,897, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
314:2x 157
404:2x 2x 101
312:2x 2x 2x 3x 13
897:3x 13x 23
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 3x 13x 13 = 32448
Therefore, the value for common factors is 32448.
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 = 14769009874944/(1x32448)
LCM = 14769009874944/32448
LCM = 455159328
Thus, we can understand that the LCM of 416,314,404,312,897 is 455159328.
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FAQs on LCM of 416, 314, 404, 312, 897
1. What is the LCM of 416, 314, 404, 312, 897?
Answer: LCM of 416, 314, 404, 312, 897 is 455159328.
2. How to calculate the LCM of 416, 314, 404, 312, 897?
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 416, 314, 404, 312, 897.
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}.