LCM of 989, 429, 745, 897, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 429, 745, 897, 817 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 989, 429, 745, 897, 817. So, keep reading to learn more.
Given numbers are 989,429,745,897,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,429,745,897,817 is 6005697555.
Find LCM of 989,429,745,897,817 with Prime Factorization
| 3 | 989, 429, 745, 897, 817 |
| 13 | 989, 143, 745, 299, 817 |
| 23 | 989, 11, 745, 23, 817 |
| 43 | 43, 11, 745, 1, 817 |
| 1, 11, 745, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 43 x 1 x 11 x 745 x 1 x 19 = 6005697555
Therefore, the lowest common multiple of 989,429,745,897,817 is 6005697555.
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.
989 x 429 x 745 x 897 x 817 = 231645760393905
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.
989 : 1, 23, 43, 989
429 : 1, 3, 11, 13, 33, 39, 143, 429
745 : 1, 5, 149, 745
897 : 1, 3, 13, 23, 39, 69, 299, 897
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,429,745,897,817, is 1.
Now, the common factors can be found like this.
989:23x 43
429:3x 11x 13
745:5x 149
897:3x 13x 23
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 23x 43 = 38571
Therefore, the value for common factors is 38571.
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 = 231645760393905/(1x38571)
LCM = 231645760393905/38571
LCM = 6005697555
Thus, we can understand that the LCM of 989,429,745,897,817 is 6005697555.
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FAQs on LCM of 989, 429, 745, 897, 817
1. What is the LCM of 989, 429, 745, 897, 817?
Answer: LCM of 989, 429, 745, 897, 817 is 6005697555.
2. How to calculate the LCM of 989, 429, 745, 897, 817?
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 989, 429, 745, 897, 817.
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}.