LCM of 462, 328, 351, 689, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 328, 351, 689, 268 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 462, 328, 351, 689, 268. So, keep reading to learn more.
Given numbers are 462,328,351,689,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,328,351,689,268 is 31479103656.
Find LCM of 462,328,351,689,268 with Prime Factorization
| 2 | 462, 328, 351, 689, 268 |
| 2 | 231, 164, 351, 689, 134 |
| 3 | 231, 82, 351, 689, 67 |
| 13 | 77, 82, 117, 689, 67 |
| 77, 82, 9, 53, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 77 x 82 x 9 x 53 x 67 = 31479103656
Therefore, the lowest common multiple of 462,328,351,689,268 is 31479103656.
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.
462 x 328 x 351 x 689 x 268 = 9821480340672
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
328 : 1, 2, 4, 8, 41, 82, 164, 328
351 : 1, 3, 9, 13, 27, 39, 117, 351
689 : 1, 13, 53, 689
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,328,351,689,268, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
328:2x 2x 2x 41
351:3x 3x 3x 13
689:13x 53
268:2x 2x 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 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 9821480340672/(1x312)
LCM = 9821480340672/312
LCM = 31479103656
Thus, we can understand that the LCM of 462,328,351,689,268 is 31479103656.
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FAQs on LCM of 462, 328, 351, 689, 268
1. What is the LCM of 462, 328, 351, 689, 268?
Answer: LCM of 462, 328, 351, 689, 268 is 31479103656.
2. How to calculate the LCM of 462, 328, 351, 689, 268?
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 462, 328, 351, 689, 268.
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}.