LCM of 322, 966, 234, 664, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 966, 234, 664, 468 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, 966, 234, 664, 468. So, keep reading to learn more.
Given numbers are 322,966,234,664,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,966,234,664,468 is 12507768.
Find LCM of 322,966,234,664,468 with Prime Factorization
| 2 | 322, 966, 234, 664, 468 |
| 2 | 161, 483, 117, 332, 234 |
| 3 | 161, 483, 117, 166, 117 |
| 3 | 161, 161, 39, 166, 39 |
| 7 | 161, 161, 13, 166, 13 |
| 13 | 23, 23, 13, 166, 13 |
| 23 | 23, 23, 1, 166, 1 |
| 1, 1, 1, 166, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 23 x 1 x 1 x 1 x 166 x 1 = 12507768
Therefore, the lowest common multiple of 322,966,234,664,468 is 12507768.
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 966 x 234 x 664 x 468 = 22618447278336
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
664 : 1, 2, 4, 8, 83, 166, 332, 664
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,966,234,664,468, is 2.
Now, the common factors can be found like this.
322:2x 7x 23
966:2x 3x 7x 23
234:2x 3x 3x 13
664:2x 2x 2x 83
468:2x 2x 3x 3x 13
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 2x 3x 3x 3x 7x 13x 23 = 904176
Therefore, the value for common factors is 904176.
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 = 22618447278336/(2x904176)
LCM = 22618447278336/1808352
LCM = 12507768
Thus, we can understand that the LCM of 322,966,234,664,468 is 12507768.
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FAQs on LCM of 322, 966, 234, 664, 468
1. What is the LCM of 322, 966, 234, 664, 468?
Answer: LCM of 322, 966, 234, 664, 468 is 12507768.
2. How to calculate the LCM of 322, 966, 234, 664, 468?
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, 966, 234, 664, 468.
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}.