LCM of 363, 351, 165, 793, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 351, 165, 793, 243 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 363, 351, 165, 793, 243. So, keep reading to learn more.
Given numbers are 363,351,165,793,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,351,165,793,243 is 116582895.
Find LCM of 363,351,165,793,243 with Prime Factorization
| 3 | 363, 351, 165, 793, 243 |
| 3 | 121, 117, 55, 793, 81 |
| 3 | 121, 39, 55, 793, 27 |
| 11 | 121, 13, 55, 793, 9 |
| 13 | 11, 13, 5, 793, 9 |
| 11, 1, 5, 61, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 13 x 11 x 1 x 5 x 61 x 9 = 116582895
Therefore, the lowest common multiple of 363,351,165,793,243 is 116582895.
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.
363 x 351 x 165 x 793 x 243 = 4051139018355
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.
363 : 1, 3, 11, 33, 121, 363
351 : 1, 3, 9, 13, 27, 39, 117, 351
165 : 1, 3, 5, 11, 15, 33, 55, 165
793 : 1, 13, 61, 793
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,351,165,793,243, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
351:3x 3x 3x 13
165:3x 5x 11
793:13x 61
243:3x 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 3x 11x 13 = 34749
Therefore, the value for common factors is 34749.
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 = 4051139018355/(1x34749)
LCM = 4051139018355/34749
LCM = 116582895
Thus, we can understand that the LCM of 363,351,165,793,243 is 116582895.
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FAQs on LCM of 363, 351, 165, 793, 243
1. What is the LCM of 363, 351, 165, 793, 243?
Answer: LCM of 363, 351, 165, 793, 243 is 116582895.
2. How to calculate the LCM of 363, 351, 165, 793, 243?
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 363, 351, 165, 793, 243.
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}.