LCM of 538, 819, 704, 409, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 819, 704, 409, 474 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 538, 819, 704, 409, 474. So, keep reading to learn more.
Given numbers are 538,819,704,409,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,819,704,409,474 is 5011401979584.
Find LCM of 538,819,704,409,474 with Prime Factorization
| 2 | 538, 819, 704, 409, 474 |
| 3 | 269, 819, 352, 409, 237 |
| 269, 273, 352, 409, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 273 x 352 x 409 x 79 = 5011401979584
Therefore, the lowest common multiple of 538,819,704,409,474 is 5011401979584.
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.
538 x 819 x 704 x 409 x 474 = 60136823755008
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.
538 : 1, 2, 269, 538
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
409 : 1, 409
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,819,704,409,474, is 1.
Now, the common factors can be found like this.
538:2x 269
819:3x 3x 7x 13
704:2x 2x 2x 2x 2x 2x 11
409:409
474:2x 3x 79
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 3 = 12
Therefore, the value for common factors is 12.
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 = 60136823755008/(1x12)
LCM = 60136823755008/12
LCM = 5011401979584
Thus, we can understand that the LCM of 538,819,704,409,474 is 5011401979584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 819, 704, 409, 474
1. What is the LCM of 538, 819, 704, 409, 474?
Answer: LCM of 538, 819, 704, 409, 474 is 5011401979584.
2. How to calculate the LCM of 538, 819, 704, 409, 474?
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 538, 819, 704, 409, 474.
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}.