LCM of 519, 363, 759, 327, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 363, 759, 327, 146 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 519, 363, 759, 327, 146. So, keep reading to learn more.
Given numbers are 519,363,759,327,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,363,759,327,146 is 22985815578.
Find LCM of 519,363,759,327,146 with Prime Factorization
| 3 | 519, 363, 759, 327, 146 |
| 11 | 173, 121, 253, 109, 146 |
| 173, 11, 23, 109, 146 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 173 x 11 x 23 x 109 x 146 = 22985815578
Therefore, the lowest common multiple of 519,363,759,327,146 is 22985815578.
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.
519 x 363 x 759 x 327 x 146 = 6826787226666
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.
519 : 1, 3, 173, 519
363 : 1, 3, 11, 33, 121, 363
759 : 1, 3, 11, 23, 33, 69, 253, 759
327 : 1, 3, 109, 327
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,363,759,327,146, is 1.
Now, the common factors can be found like this.
519:3x 173
363:3x 11x 11
759:3x 11x 23
327:3x 109
146:2x 73
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 11 = 297
Therefore, the value for common factors is 297.
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 = 6826787226666/(1x297)
LCM = 6826787226666/297
LCM = 22985815578
Thus, we can understand that the LCM of 519,363,759,327,146 is 22985815578.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 519, 363, 759, 327, 146
1. What is the LCM of 519, 363, 759, 327, 146?
Answer: LCM of 519, 363, 759, 327, 146 is 22985815578.
2. How to calculate the LCM of 519, 363, 759, 327, 146?
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 519, 363, 759, 327, 146.
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}.