Find the LCM of 329, 208, 308, 429, 297 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 329, 208, 308, 429, 297. So, keep reading to learn more.
Given numbers are 329,208,308,429,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,208,308,429,297 is 20324304.
Find LCM of 329,208,308,429,297 with Prime Factorization
2 | 329, 208, 308, 429, 297 |
2 | 329, 104, 154, 429, 297 |
3 | 329, 52, 77, 429, 297 |
7 | 329, 52, 77, 143, 99 |
11 | 47, 52, 11, 143, 99 |
13 | 47, 52, 1, 13, 9 |
47, 4, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 47 x 4 x 1 x 1 x 9 = 20324304
Therefore, the lowest common multiple of 329,208,308,429,297 is 20324304.
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.
329 x 208 x 308 x 429 x 297 = 2685490936128
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.
329 : 1, 7, 47, 329
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
429 : 1, 3, 11, 13, 33, 39, 143, 429
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,208,308,429,297, is 1.
Now, the common factors can be found like this.
329:7x 47
208:2x 2x 2x 2x 13
308:2x 2x 7x 11
429:3x 11x 13
297:3x 3x 3x 11
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 3x 7x 11x 11x 13 = 132132
Therefore, the value for common factors is 132132.
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 = 2685490936128/(1x132132)
LCM = 2685490936128/132132
LCM = 20324304
Thus, we can understand that the LCM of 329,208,308,429,297 is 20324304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 208, 308, 429, 297?
Answer: LCM of 329, 208, 308, 429, 297 is 20324304.
2. How to calculate the LCM of 329, 208, 308, 429, 297?
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 329, 208, 308, 429, 297.
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}.