LCM of 437, 829, 646, 793, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 829, 646, 793, 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 437, 829, 646, 793, 897. So, keep reading to learn more.
Given numbers are 437,829,646,793,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,829,646,793,897 is 29302813878.
Find LCM of 437,829,646,793,897 with Prime Factorization
| 13 | 437, 829, 646, 793, 897 |
| 19 | 437, 829, 646, 61, 69 |
| 23 | 23, 829, 34, 61, 69 |
| 1, 829, 34, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 23 x 1 x 829 x 34 x 61 x 3 = 29302813878
Therefore, the lowest common multiple of 437,829,646,793,897 is 29302813878.
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.
437 x 829 x 646 x 793 x 897 = 166469285640918
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.
437 : 1, 19, 23, 437
829 : 1, 829
646 : 1, 2, 17, 19, 34, 38, 323, 646
793 : 1, 13, 61, 793
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 437,829,646,793,897, is 1.
Now, the common factors can be found like this.
437:19x 23
829:829
646:2x 17x 19
793:13x 61
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.
13x 19x 23 = 5681
Therefore, the value for common factors is 5681.
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 = 166469285640918/(1x5681)
LCM = 166469285640918/5681
LCM = 29302813878
Thus, we can understand that the LCM of 437,829,646,793,897 is 29302813878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 829, 646, 793, 897
1. What is the LCM of 437, 829, 646, 793, 897?
Answer: LCM of 437, 829, 646, 793, 897 is 29302813878.
2. How to calculate the LCM of 437, 829, 646, 793, 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 437, 829, 646, 793, 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}.