LCM of 717, 788, 988, 559, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 788, 988, 559, 462 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, 788, 988, 559, 462. So, keep reading to learn more.
Given numbers are 717,788,988,559,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,788,988,559,462 is 462063333732.
Find LCM of 717,788,988,559,462 with Prime Factorization
| 2 | 717, 788, 988, 559, 462 |
| 2 | 717, 394, 494, 559, 231 |
| 3 | 717, 197, 247, 559, 231 |
| 13 | 239, 197, 247, 559, 77 |
| 239, 197, 19, 43, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 239 x 197 x 19 x 43 x 77 = 462063333732
Therefore, the lowest common multiple of 717,788,988,559,462 is 462063333732.
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 788 x 988 x 559 x 462 = 144163760124384
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
788 : 1, 2, 4, 197, 394, 788
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
559 : 1, 13, 43, 559
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,788,988,559,462, is 1.
Now, the common factors can be found like this.
717:3x 239
788:2x 2x 197
988:2x 2x 13x 19
559:13x 43
462:2x 3x 7x 11
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 13 = 312
Therefore, the value for common factors is 312.
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 = 144163760124384/(1x312)
LCM = 144163760124384/312
LCM = 462063333732
Thus, we can understand that the LCM of 717,788,988,559,462 is 462063333732.
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FAQs on LCM of 717, 788, 988, 559, 462
1. What is the LCM of 717, 788, 988, 559, 462?
Answer: LCM of 717, 788, 988, 559, 462 is 462063333732.
2. How to calculate the LCM of 717, 788, 988, 559, 462?
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, 788, 988, 559, 462.
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}.