LCM of 510, 174, 162, 264, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 174, 162, 264, 810 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 510, 174, 162, 264, 810. So, keep reading to learn more.
Given numbers are 510,174,162,264,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,174,162,264,810 is 17570520.
Find LCM of 510,174,162,264,810 with Prime Factorization
| 2 | 510, 174, 162, 264, 810 |
| 3 | 255, 87, 81, 132, 405 |
| 3 | 85, 29, 27, 44, 135 |
| 3 | 85, 29, 9, 44, 45 |
| 3 | 85, 29, 3, 44, 15 |
| 5 | 85, 29, 1, 44, 5 |
| 17, 29, 1, 44, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 17 x 29 x 1 x 44 x 1 = 17570520
Therefore, the lowest common multiple of 510,174,162,264,810 is 17570520.
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.
510 x 174 x 162 x 264 x 810 = 3074138179200
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
174 : 1, 2, 3, 6, 29, 58, 87, 174
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,174,162,264,810, is 6.
Now, the common factors can be found like this.
510:2x 3x 5x 17
174:2x 3x 29
162:2x 3x 3x 3x 3
264:2x 2x 2x 3x 11
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 3x 3x 5 = 29160
Therefore, the value for common factors is 29160.
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 = 3074138179200/(6x29160)
LCM = 3074138179200/174960
LCM = 17570520
Thus, we can understand that the LCM of 510,174,162,264,810 is 17570520.
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FAQs on LCM of 510, 174, 162, 264, 810
1. What is the LCM of 510, 174, 162, 264, 810?
Answer: LCM of 510, 174, 162, 264, 810 is 17570520.
2. How to calculate the LCM of 510, 174, 162, 264, 810?
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 510, 174, 162, 264, 810.
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}.