LCM of 805, 886, 760, 814, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 886, 760, 814, 429 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 805, 886, 760, 814, 429. So, keep reading to learn more.
Given numbers are 805,886,760,814,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,886,760,814,429 is 860403584040.
Find LCM of 805,886,760,814,429 with Prime Factorization
| 2 | 805, 886, 760, 814, 429 |
| 5 | 805, 443, 380, 407, 429 |
| 11 | 161, 443, 76, 407, 429 |
| 161, 443, 76, 37, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 161 x 443 x 76 x 37 x 39 = 860403584040
Therefore, the lowest common multiple of 805,886,760,814,429 is 860403584040.
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.
805 x 886 x 760 x 814 x 429 = 189288788488800
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
886 : 1, 2, 443, 886
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
814 : 1, 2, 11, 22, 37, 74, 407, 814
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,886,760,814,429, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
886:2x 443
760:2x 2x 2x 5x 19
814:2x 11x 37
429:3x 11x 13
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 189288788488800/(1x220)
LCM = 189288788488800/220
LCM = 860403584040
Thus, we can understand that the LCM of 805,886,760,814,429 is 860403584040.
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FAQs on LCM of 805, 886, 760, 814, 429
1. What is the LCM of 805, 886, 760, 814, 429?
Answer: LCM of 805, 886, 760, 814, 429 is 860403584040.
2. How to calculate the LCM of 805, 886, 760, 814, 429?
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 805, 886, 760, 814, 429.
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}.