Find the LCM of 322, 204, 964, 739, 414 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 322, 204, 964, 739, 414. So, keep reading to learn more.
Given numbers are 322,204,964,739,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,204,964,739,414 is 17548450668.
Find LCM of 322,204,964,739,414 with Prime Factorization
2 | 322, 204, 964, 739, 414 |
2 | 161, 102, 482, 739, 207 |
3 | 161, 51, 241, 739, 207 |
23 | 161, 17, 241, 739, 69 |
7, 17, 241, 739, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 7 x 17 x 241 x 739 x 3 = 17548450668
Therefore, the lowest common multiple of 322,204,964,739,414 is 17548450668.
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.
322 x 204 x 964 x 739 x 414 = 19373489537472
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
964 : 1, 2, 4, 241, 482, 964
739 : 1, 739
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,204,964,739,414, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
204:2x 2x 3x 17
964:2x 2x 241
739:739
414:2x 3x 3x 23
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 19373489537472/(1x1104)
LCM = 19373489537472/1104
LCM = 17548450668
Thus, we can understand that the LCM of 322,204,964,739,414 is 17548450668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 204, 964, 739, 414?
Answer: LCM of 322, 204, 964, 739, 414 is 17548450668.
2. How to calculate the LCM of 322, 204, 964, 739, 414?
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 322, 204, 964, 739, 414.
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}.