Find the LCM of 704, 188, 858, 429, 413 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 704, 188, 858, 429, 413. So, keep reading to learn more.
Given numbers are 704,188,858,429,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,188,858,429,413 is 532948416.
Find LCM of 704,188,858,429,413 with Prime Factorization
2 | 704, 188, 858, 429, 413 |
2 | 352, 94, 429, 429, 413 |
3 | 176, 47, 429, 429, 413 |
11 | 176, 47, 143, 143, 413 |
13 | 16, 47, 13, 13, 413 |
16, 47, 1, 1, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 16 x 47 x 1 x 1 x 413 = 532948416
Therefore, the lowest common multiple of 704,188,858,429,413 is 532948416.
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.
704 x 188 x 858 x 429 x 413 = 20119868600832
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
188 : 1, 2, 4, 47, 94, 188
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
429 : 1, 3, 11, 13, 33, 39, 143, 429
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,188,858,429,413, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
188:2x 2x 47
858:2x 3x 11x 13
429:3x 11x 13
413:7x 59
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 11x 11x 13 = 37752
Therefore, the value for common factors is 37752.
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 = 20119868600832/(1x37752)
LCM = 20119868600832/37752
LCM = 532948416
Thus, we can understand that the LCM of 704,188,858,429,413 is 532948416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 188, 858, 429, 413?
Answer: LCM of 704, 188, 858, 429, 413 is 532948416.
2. How to calculate the LCM of 704, 188, 858, 429, 413?
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 704, 188, 858, 429, 413.
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}.