LCM of 319, 712, 816, 435, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 712, 816, 435, 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 319, 712, 816, 435, 717. So, keep reading to learn more.
Given numbers are 319,712,816,435,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,712,816,435,717 is 27684631920.
Find LCM of 319,712,816,435,717 with Prime Factorization
| 2 | 319, 712, 816, 435, 717 |
| 2 | 319, 356, 408, 435, 717 |
| 2 | 319, 178, 204, 435, 717 |
| 3 | 319, 89, 102, 435, 717 |
| 29 | 319, 89, 34, 145, 239 |
| 11, 89, 34, 5, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 11 x 89 x 34 x 5 x 239 = 27684631920
Therefore, the lowest common multiple of 319,712,816,435,717 is 27684631920.
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.
319 x 712 x 816 x 435 x 717 = 57805511448960
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.
319 : 1, 11, 29, 319
712 : 1, 2, 4, 8, 89, 178, 356, 712
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
435 : 1, 3, 5, 15, 29, 87, 145, 435
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,712,816,435,717, is 1.
Now, the common factors can be found like this.
319:11x 29
712:2x 2x 2x 89
816:2x 2x 2x 2x 3x 17
435:3x 5x 29
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 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 57805511448960/(1x2088)
LCM = 57805511448960/2088
LCM = 27684631920
Thus, we can understand that the LCM of 319,712,816,435,717 is 27684631920.
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FAQs on LCM of 319, 712, 816, 435, 717
1. What is the LCM of 319, 712, 816, 435, 717?
Answer: LCM of 319, 712, 816, 435, 717 is 27684631920.
2. How to calculate the LCM of 319, 712, 816, 435, 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 319, 712, 816, 435, 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}.