LCM of 172, 715, 304, 817, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 715, 304, 817, 469 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 172, 715, 304, 817, 469. So, keep reading to learn more.
Given numbers are 172,715,304,817,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,715,304,817,469 is 4383499120.
Find LCM of 172,715,304,817,469 with Prime Factorization
| 2 | 172, 715, 304, 817, 469 |
| 2 | 86, 715, 152, 817, 469 |
| 19 | 43, 715, 76, 817, 469 |
| 43 | 43, 715, 4, 43, 469 |
| 1, 715, 4, 1, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 43 x 1 x 715 x 4 x 1 x 469 = 4383499120
Therefore, the lowest common multiple of 172,715,304,817,469 is 4383499120.
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.
172 x 715 x 304 x 817 x 469 = 14325275124160
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.
172 : 1, 2, 4, 43, 86, 172
715 : 1, 5, 11, 13, 55, 65, 143, 715
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
817 : 1, 19, 43, 817
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,715,304,817,469, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
715:5x 11x 13
304:2x 2x 2x 2x 19
817:19x 43
469:7x 67
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 19x 43 = 3268
Therefore, the value for common factors is 3268.
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 = 14325275124160/(1x3268)
LCM = 14325275124160/3268
LCM = 4383499120
Thus, we can understand that the LCM of 172,715,304,817,469 is 4383499120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 172, 715, 304, 817, 469
1. What is the LCM of 172, 715, 304, 817, 469?
Answer: LCM of 172, 715, 304, 817, 469 is 4383499120.
2. How to calculate the LCM of 172, 715, 304, 817, 469?
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 172, 715, 304, 817, 469.
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}.