LCM of 565, 363, 623, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 363, 623, 165 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 565, 363, 623, 165. So, keep reading to learn more.
Given numbers are 565,363,623,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,363,623,165 is 127774185.
Find LCM of 565,363,623,165 with Prime Factorization
| 3 | 565, 363, 623, 165 |
| 5 | 565, 121, 623, 55 |
| 11 | 113, 121, 623, 11 |
| 113, 1, 623, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 113 x 1 x 623 x 11 = 127774185
Therefore, the lowest common multiple of 565,363,623,165 is 127774185.
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.
565 x 363 x 623 x 165 = 21082740525
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.
565 : 1, 5, 113, 565
363 : 1, 3, 11, 33, 121, 363
623 : 1, 7, 89, 623
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,363,623,165, is 1.
Now, the common factors can be found like this.
565:5x 113
363:3x 11x 11
623:7x 89
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 21082740525/(1x165)
LCM = 21082740525/165
LCM = 127774185
Thus, we can understand that the LCM of 565,363,623,165 is 127774185.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 565, 363, 623, 165
1. What is the LCM of 565, 363, 623, 165?
Answer: LCM of 565, 363, 623, 165 is 127774185.
2. How to calculate the LCM of 565, 363, 623, 165?
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 565, 363, 623, 165.
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}.