LCM of 322, 449, 169, 966, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 449, 169, 966, 409 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 322, 449, 169, 966, 409. So, keep reading to learn more.
Given numbers are 322,449,169,966,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,449,169,966,409 is 29980127814.
Find LCM of 322,449,169,966,409 with Prime Factorization
| 2 | 322, 449, 169, 966, 409 |
| 7 | 161, 449, 169, 483, 409 |
| 23 | 23, 449, 169, 69, 409 |
| 1, 449, 169, 3, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 1 x 449 x 169 x 3 x 409 = 29980127814
Therefore, the lowest common multiple of 322,449,169,966,409 is 29980127814.
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.
322 x 449 x 169 x 966 x 409 = 9653601156108
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
449 : 1, 449
169 : 1, 13, 169
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,449,169,966,409, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
449:449
169:13x 13
966:2x 3x 7x 23
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 9653601156108/(1x322)
LCM = 9653601156108/322
LCM = 29980127814
Thus, we can understand that the LCM of 322,449,169,966,409 is 29980127814.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 449, 169, 966, 409
1. What is the LCM of 322, 449, 169, 966, 409?
Answer: LCM of 322, 449, 169, 966, 409 is 29980127814.
2. How to calculate the LCM of 322, 449, 169, 966, 409?
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 322, 449, 169, 966, 409.
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}.