Find the LCM of 322, 429, 395, 649, 616 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, 429, 395, 649, 616. So, keep reading to learn more.
Given numbers are 322,429,395,649,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,429,395,649,616 is 12877224360.
Find LCM of 322,429,395,649,616 with Prime Factorization
2 | 322, 429, 395, 649, 616 |
7 | 161, 429, 395, 649, 308 |
11 | 23, 429, 395, 649, 44 |
23, 39, 395, 59, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 23 x 39 x 395 x 59 x 4 = 12877224360
Therefore, the lowest common multiple of 322,429,395,649,616 is 12877224360.
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 429 x 395 x 649 x 616 = 21814018065840
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
395 : 1, 5, 79, 395
649 : 1, 11, 59, 649
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,429,395,649,616, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
429:3x 11x 13
395:5x 79
649:11x 59
616:2x 2x 2x 7x 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 7x 11x 11 = 1694
Therefore, the value for common factors is 1694.
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 = 21814018065840/(1x1694)
LCM = 21814018065840/1694
LCM = 12877224360
Thus, we can understand that the LCM of 322,429,395,649,616 is 12877224360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 429, 395, 649, 616?
Answer: LCM of 322, 429, 395, 649, 616 is 12877224360.
2. How to calculate the LCM of 322, 429, 395, 649, 616?
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, 429, 395, 649, 616.
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}.