LCM of 943, 382, 273, 560, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 382, 273, 560, 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 943, 382, 273, 560, 897. So, keep reading to learn more.
Given numbers are 943,382,273,560,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,382,273,560,897 is 3933667920.
Find LCM of 943,382,273,560,897 with Prime Factorization
| 2 | 943, 382, 273, 560, 897 |
| 3 | 943, 191, 273, 280, 897 |
| 7 | 943, 191, 91, 280, 299 |
| 13 | 943, 191, 13, 40, 299 |
| 23 | 943, 191, 1, 40, 23 |
| 41, 191, 1, 40, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 41 x 191 x 1 x 40 x 1 = 3933667920
Therefore, the lowest common multiple of 943,382,273,560,897 is 3933667920.
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.
943 x 382 x 273 x 560 x 897 = 49399001739360
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.
943 : 1, 23, 41, 943
382 : 1, 2, 191, 382
273 : 1, 3, 7, 13, 21, 39, 91, 273
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 943,382,273,560,897, is 1.
Now, the common factors can be found like this.
943:23x 41
382:2x 191
273:3x 7x 13
560:2x 2x 2x 2x 5x 7
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 3x 7x 13x 23 = 12558
Therefore, the value for common factors is 12558.
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 = 49399001739360/(1x12558)
LCM = 49399001739360/12558
LCM = 3933667920
Thus, we can understand that the LCM of 943,382,273,560,897 is 3933667920.
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FAQs on LCM of 943, 382, 273, 560, 897
1. What is the LCM of 943, 382, 273, 560, 897?
Answer: LCM of 943, 382, 273, 560, 897 is 3933667920.
2. How to calculate the LCM of 943, 382, 273, 560, 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 943, 382, 273, 560, 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}.