LCM of 356, 264, 682, 671, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 264, 682, 671, 717 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 356, 264, 682, 671, 717. So, keep reading to learn more.
Given numbers are 356,264,682,671,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,264,682,671,717 is 10618993704.
Find LCM of 356,264,682,671,717 with Prime Factorization
| 2 | 356, 264, 682, 671, 717 |
| 2 | 178, 132, 341, 671, 717 |
| 3 | 89, 66, 341, 671, 717 |
| 11 | 89, 22, 341, 671, 239 |
| 89, 2, 31, 61, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 89 x 2 x 31 x 61 x 239 = 10618993704
Therefore, the lowest common multiple of 356,264,682,671,717 is 10618993704.
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.
356 x 264 x 682 x 671 x 717 = 30837557716416
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.
356 : 1, 2, 4, 89, 178, 356
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
682 : 1, 2, 11, 22, 31, 62, 341, 682
671 : 1, 11, 61, 671
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,264,682,671,717, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
264:2x 2x 2x 3x 11
682:2x 11x 31
671:11x 61
717:3x 239
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 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 30837557716416/(1x2904)
LCM = 30837557716416/2904
LCM = 10618993704
Thus, we can understand that the LCM of 356,264,682,671,717 is 10618993704.
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FAQs on LCM of 356, 264, 682, 671, 717
1. What is the LCM of 356, 264, 682, 671, 717?
Answer: LCM of 356, 264, 682, 671, 717 is 10618993704.
2. How to calculate the LCM of 356, 264, 682, 671, 717?
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 356, 264, 682, 671, 717.
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}.