Find the LCM of 368, 338, 832, 512, 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 368, 338, 832, 512, 208. So, keep reading to learn more.
Given numbers are 368,338,832,512,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,338,832,512,208 is 1990144.
Find LCM of 368,338,832,512,208 with Prime Factorization
2 | 368, 338, 832, 512, 208 |
2 | 184, 169, 416, 256, 104 |
2 | 92, 169, 208, 128, 52 |
2 | 46, 169, 104, 64, 26 |
2 | 23, 169, 52, 32, 13 |
2 | 23, 169, 26, 16, 13 |
13 | 23, 169, 13, 8, 13 |
23, 1, 1, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 13 x 23 x 1 x 1 x 8 x 13 = 1990144
Therefore, the lowest common multiple of 368,338,832,512,208 is 1990144.
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.
368 x 338 x 832 x 512 x 208 = 11021003522048
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
338 : 1, 2, 13, 26, 169, 338
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,338,832,512,208, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
338:2x 13x 13
832:2x 2x 2x 2x 2x 2x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 2x 2x 2x 13x 13 = 2768896
Therefore, the value for common factors is 2768896.
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 = 11021003522048/(2x2768896)
LCM = 11021003522048/5537792
LCM = 1990144
Thus, we can understand that the LCM of 368,338,832,512,208 is 1990144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 368, 338, 832, 512, 208?
Answer: LCM of 368, 338, 832, 512, 208 is 1990144.
2. How to calculate the LCM of 368, 338, 832, 512, 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 368, 338, 832, 512, 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}.