LCM of 717, 319, 286, 372, 809
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 319, 286, 372, 809 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, 319, 286, 372, 809. So, keep reading to learn more.
Given numbers are 717,319,286,372,809
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,319,286,372,809 is 298279494084.
Find LCM of 717,319,286,372,809 with Prime Factorization
| 2 | 717, 319, 286, 372, 809 |
| 3 | 717, 319, 143, 186, 809 |
| 11 | 239, 319, 143, 62, 809 |
| 239, 29, 13, 62, 809 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 239 x 29 x 13 x 62 x 809 = 298279494084
Therefore, the lowest common multiple of 717,319,286,372,809 is 298279494084.
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 319 x 286 x 372 x 809 = 19686446609544
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
319 : 1, 11, 29, 319
286 : 1, 2, 11, 13, 22, 26, 143, 286
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
809 : 1, 809
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,319,286,372,809, is 1.
Now, the common factors can be found like this.
717:3x 239
319:11x 29
286:2x 11x 13
372:2x 2x 3x 31
809:809
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 11 = 66
Therefore, the value for common factors is 66.
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 = 19686446609544/(1x66)
LCM = 19686446609544/66
LCM = 298279494084
Thus, we can understand that the LCM of 717,319,286,372,809 is 298279494084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 319, 286, 372, 809
1. What is the LCM of 717, 319, 286, 372, 809?
Answer: LCM of 717, 319, 286, 372, 809 is 298279494084.
2. How to calculate the LCM of 717, 319, 286, 372, 809?
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, 319, 286, 372, 809.
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}.