LCM of 717, 851, 998, 732, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 851, 998, 732, 814 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, 851, 998, 732, 814. So, keep reading to learn more.
Given numbers are 717,851,998,732,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,851,998,732,814 is 817206425772.
Find LCM of 717,851,998,732,814 with Prime Factorization
| 2 | 717, 851, 998, 732, 814 |
| 3 | 717, 851, 499, 366, 407 |
| 37 | 239, 851, 499, 122, 407 |
| 239, 23, 499, 122, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 239 x 23 x 499 x 122 x 11 = 817206425772
Therefore, the lowest common multiple of 717,851,998,732,814 is 817206425772.
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 851 x 998 x 732 x 814 = 362839653042768
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
851 : 1, 23, 37, 851
998 : 1, 2, 499, 998
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,851,998,732,814, is 1.
Now, the common factors can be found like this.
717:3x 239
851:23x 37
998:2x 499
732:2x 2x 3x 61
814:2x 11x 37
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 3x 37 = 444
Therefore, the value for common factors is 444.
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 = 362839653042768/(1x444)
LCM = 362839653042768/444
LCM = 817206425772
Thus, we can understand that the LCM of 717,851,998,732,814 is 817206425772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 851, 998, 732, 814
1. What is the LCM of 717, 851, 998, 732, 814?
Answer: LCM of 717, 851, 998, 732, 814 is 817206425772.
2. How to calculate the LCM of 717, 851, 998, 732, 814?
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, 851, 998, 732, 814.
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}.