LCM of 399, 437, 171, 459, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 437, 171, 459, 514 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 399, 437, 171, 459, 514. So, keep reading to learn more.
Given numbers are 399,437,171,459,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,437,171,459,514 is 721697634.
Find LCM of 399,437,171,459,514 with Prime Factorization
| 3 | 399, 437, 171, 459, 514 |
| 3 | 133, 437, 57, 153, 514 |
| 19 | 133, 437, 19, 51, 514 |
| 7, 23, 1, 51, 514 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 7 x 23 x 1 x 51 x 514 = 721697634
Therefore, the lowest common multiple of 399,437,171,459,514 is 721697634.
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.
399 x 437 x 171 x 459 x 514 = 7034386838598
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
437 : 1, 19, 23, 437
171 : 1, 3, 9, 19, 57, 171
459 : 1, 3, 9, 17, 27, 51, 153, 459
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,437,171,459,514, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
437:19x 23
171:3x 3x 19
459:3x 3x 3x 17
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19x 19 = 9747
Therefore, the value for common factors is 9747.
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 = 7034386838598/(1x9747)
LCM = 7034386838598/9747
LCM = 721697634
Thus, we can understand that the LCM of 399,437,171,459,514 is 721697634.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 399, 437, 171, 459, 514
1. What is the LCM of 399, 437, 171, 459, 514?
Answer: LCM of 399, 437, 171, 459, 514 is 721697634.
2. How to calculate the LCM of 399, 437, 171, 459, 514?
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 399, 437, 171, 459, 514.
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}.