LCM of 717, 102, 697, 609, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 102, 697, 609, 646 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 717, 102, 697, 609, 646. So, keep reading to learn more.
Given numbers are 717,102,697,609,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,102,697,609,646 is 3855063786.
Find LCM of 717,102,697,609,646 with Prime Factorization
| 2 | 717, 102, 697, 609, 646 |
| 3 | 717, 51, 697, 609, 323 |
| 17 | 239, 17, 697, 203, 323 |
| 239, 1, 41, 203, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 239 x 1 x 41 x 203 x 19 = 3855063786
Therefore, the lowest common multiple of 717,102,697,609,646 is 3855063786.
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.
717 x 102 x 697 x 609 x 646 = 20054041814772
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.
717 : 1, 3, 239, 717
102 : 1, 2, 3, 6, 17, 34, 51, 102
697 : 1, 17, 41, 697
609 : 1, 3, 7, 21, 29, 87, 203, 609
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,102,697,609,646, is 1.
Now, the common factors can be found like this.
717:3x 239
102:2x 3x 17
697:17x 41
609:3x 7x 29
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 17 = 5202
Therefore, the value for common factors is 5202.
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 = 20054041814772/(1x5202)
LCM = 20054041814772/5202
LCM = 3855063786
Thus, we can understand that the LCM of 717,102,697,609,646 is 3855063786.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 102, 697, 609, 646
1. What is the LCM of 717, 102, 697, 609, 646?
Answer: LCM of 717, 102, 697, 609, 646 is 3855063786.
2. How to calculate the LCM of 717, 102, 697, 609, 646?
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 717, 102, 697, 609, 646.
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}.