LCM of 431, 459, 514, 663, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 459, 514, 663, 697 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 431, 459, 514, 663, 697. So, keep reading to learn more.
Given numbers are 431,459,514,663,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,459,514,663,697 is 54197628498.
Find LCM of 431,459,514,663,697 with Prime Factorization
| 3 | 431, 459, 514, 663, 697 |
| 17 | 431, 153, 514, 221, 697 |
| 431, 9, 514, 13, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 431 x 9 x 514 x 13 x 41 = 54197628498
Therefore, the lowest common multiple of 431,459,514,663,697 is 54197628498.
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.
431 x 459 x 514 x 663 x 697 = 46989343907766
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.
431 : 1, 431
459 : 1, 3, 9, 17, 27, 51, 153, 459
514 : 1, 2, 257, 514
663 : 1, 3, 13, 17, 39, 51, 221, 663
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,459,514,663,697, is 1.
Now, the common factors can be found like this.
431:431
459:3x 3x 3x 17
514:2x 257
663:3x 13x 17
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 17 = 867
Therefore, the value for common factors is 867.
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 = 46989343907766/(1x867)
LCM = 46989343907766/867
LCM = 54197628498
Thus, we can understand that the LCM of 431,459,514,663,697 is 54197628498.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 431, 459, 514, 663, 697
1. What is the LCM of 431, 459, 514, 663, 697?
Answer: LCM of 431, 459, 514, 663, 697 is 54197628498.
2. How to calculate the LCM of 431, 459, 514, 663, 697?
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 431, 459, 514, 663, 697.
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}.