LCM of 822, 755, 174, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 755, 174, 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 822, 755, 174, 165. So, keep reading to learn more.
Given numbers are 822,755,174,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,755,174,165 is 197974590.
Find LCM of 822,755,174,165 with Prime Factorization
| 2 | 822, 755, 174, 165 |
| 3 | 411, 755, 87, 165 |
| 5 | 137, 755, 29, 55 |
| 137, 151, 29, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 137 x 151 x 29 x 11 = 197974590
Therefore, the lowest common multiple of 822,755,174,165 is 197974590.
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.
822 x 755 x 174 x 165 = 17817713100
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
755 : 1, 5, 151, 755
174 : 1, 2, 3, 6, 29, 58, 87, 174
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 822,755,174,165, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
755:5x 151
174:2x 3x 29
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.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 17817713100/(1x90)
LCM = 17817713100/90
LCM = 197974590
Thus, we can understand that the LCM of 822,755,174,165 is 197974590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 822, 755, 174, 165
1. What is the LCM of 822, 755, 174, 165?
Answer: LCM of 822, 755, 174, 165 is 197974590.
2. How to calculate the LCM of 822, 755, 174, 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 822, 755, 174, 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}.