LCM of 165, 825, 963, 214, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 825, 963, 214, 550 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 165, 825, 963, 214, 550. So, keep reading to learn more.
Given numbers are 165,825,963,214,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,825,963,214,550 is 529650.
Find LCM of 165,825,963,214,550 with Prime Factorization
| 2 | 165, 825, 963, 214, 550 |
| 3 | 165, 825, 963, 107, 275 |
| 5 | 55, 275, 321, 107, 275 |
| 5 | 11, 55, 321, 107, 55 |
| 11 | 11, 11, 321, 107, 11 |
| 107 | 1, 1, 321, 107, 1 |
| 1, 1, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 107 x 1 x 1 x 3 x 1 x 1 = 529650
Therefore, the lowest common multiple of 165,825,963,214,550 is 529650.
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.
165 x 825 x 963 x 214 x 550 = 15429101737500
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
963 : 1, 3, 9, 107, 321, 963
214 : 1, 2, 107, 214
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,825,963,214,550, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
825:3x 5x 5x 11
963:3x 3x 107
214:2x 107
550:2x 5x 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.
2x 3x 3x 5x 5x 5x 11x 11x 107 = 29130750
Therefore, the value for common factors is 29130750.
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 = 15429101737500/(1x29130750)
LCM = 15429101737500/29130750
LCM = 529650
Thus, we can understand that the LCM of 165,825,963,214,550 is 529650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 165, 825, 963, 214, 550
1. What is the LCM of 165, 825, 963, 214, 550?
Answer: LCM of 165, 825, 963, 214, 550 is 529650.
2. How to calculate the LCM of 165, 825, 963, 214, 550?
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 165, 825, 963, 214, 550.
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}.