LCM of 816, 513, 443, 159, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 513, 443, 159, 729 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 816, 513, 443, 159, 729. So, keep reading to learn more.
Given numbers are 816,513,443,159,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,513,443,159,729 is 88456475088.
Find LCM of 816,513,443,159,729 with Prime Factorization
| 3 | 816, 513, 443, 159, 729 |
| 3 | 272, 171, 443, 53, 243 |
| 3 | 272, 57, 443, 53, 81 |
| 272, 19, 443, 53, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 272 x 19 x 443 x 53 x 27 = 88456475088
Therefore, the lowest common multiple of 816,513,443,159,729 is 88456475088.
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.
816 x 513 x 443 x 159 x 729 = 21494923446384
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
513 : 1, 3, 9, 19, 27, 57, 171, 513
443 : 1, 443
159 : 1, 3, 53, 159
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,513,443,159,729, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
513:3x 3x 3x 19
443:443
159:3x 53
729:3x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 21494923446384/(1x243)
LCM = 21494923446384/243
LCM = 88456475088
Thus, we can understand that the LCM of 816,513,443,159,729 is 88456475088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 816, 513, 443, 159, 729
1. What is the LCM of 816, 513, 443, 159, 729?
Answer: LCM of 816, 513, 443, 159, 729 is 88456475088.
2. How to calculate the LCM of 816, 513, 443, 159, 729?
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 816, 513, 443, 159, 729.
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}.