LCM of 321, 634, 444, 784, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 634, 444, 784, 208 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 321, 634, 444, 784, 208. So, keep reading to learn more.
Given numbers are 321,634,444,784,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,634,444,784,208 is 38372971728.
Find LCM of 321,634,444,784,208 with Prime Factorization
| 2 | 321, 634, 444, 784, 208 |
| 2 | 321, 317, 222, 392, 104 |
| 2 | 321, 317, 111, 196, 52 |
| 2 | 321, 317, 111, 98, 26 |
| 3 | 321, 317, 111, 49, 13 |
| 107, 317, 37, 49, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 107 x 317 x 37 x 49 x 13 = 38372971728
Therefore, the lowest common multiple of 321,634,444,784,208 is 38372971728.
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.
321 x 634 x 444 x 784 x 208 = 14735221143552
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.
321 : 1, 3, 107, 321
634 : 1, 2, 317, 634
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,634,444,784,208, is 1.
Now, the common factors can be found like this.
321:3x 107
634:2x 317
444:2x 2x 3x 37
784:2x 2x 2x 2x 7x 7
208:2x 2x 2x 2x 13
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 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 14735221143552/(1x384)
LCM = 14735221143552/384
LCM = 38372971728
Thus, we can understand that the LCM of 321,634,444,784,208 is 38372971728.
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FAQs on LCM of 321, 634, 444, 784, 208
1. What is the LCM of 321, 634, 444, 784, 208?
Answer: LCM of 321, 634, 444, 784, 208 is 38372971728.
2. How to calculate the LCM of 321, 634, 444, 784, 208?
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 321, 634, 444, 784, 208.
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}.