LCM of 667, 852, 961, 820, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 852, 961, 820, 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 667, 852, 961, 820, 717. So, keep reading to learn more.
Given numbers are 667,852,961,820,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,852,961,820,717 is 26757194671380.
Find LCM of 667,852,961,820,717 with Prime Factorization
| 2 | 667, 852, 961, 820, 717 |
| 2 | 667, 426, 961, 410, 717 |
| 3 | 667, 213, 961, 205, 717 |
| 667, 71, 961, 205, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 667 x 71 x 961 x 205 x 239 = 26757194671380
Therefore, the lowest common multiple of 667,852,961,820,717 is 26757194671380.
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.
667 x 852 x 961 x 820 x 717 = 321086336056560
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.
667 : 1, 23, 29, 667
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
961 : 1, 31, 961
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,852,961,820,717, is 1.
Now, the common factors can be found like this.
667:23x 29
852:2x 2x 3x 71
961:31x 31
820:2x 2x 5x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 321086336056560/(1x12)
LCM = 321086336056560/12
LCM = 26757194671380
Thus, we can understand that the LCM of 667,852,961,820,717 is 26757194671380.
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FAQs on LCM of 667, 852, 961, 820, 717
1. What is the LCM of 667, 852, 961, 820, 717?
Answer: LCM of 667, 852, 961, 820, 717 is 26757194671380.
2. How to calculate the LCM of 667, 852, 961, 820, 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 667, 852, 961, 820, 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}.