Find the LCM of 398, 326, 834, 405, 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 398, 326, 834, 405, 616. So, keep reading to learn more.
Given numbers are 398,326,834,405,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,326,834,405,616 is 1124841203640.
Find LCM of 398,326,834,405,616 with Prime Factorization
2 | 398, 326, 834, 405, 616 |
3 | 199, 163, 417, 405, 308 |
199, 163, 139, 135, 308 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 163 x 139 x 135 x 308 = 1124841203640
Therefore, the lowest common multiple of 398,326,834,405,616 is 1124841203640.
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.
398 x 326 x 834 x 405 x 616 = 26996188887360
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.
398 : 1, 2, 199, 398
326 : 1, 2, 163, 326
834 : 1, 2, 3, 6, 139, 278, 417, 834
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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 398,326,834,405,616, is 1.
Now, the common factors can be found like this.
398:2x 199
326:2x 163
834:2x 3x 139
405:3x 3x 3x 3x 5
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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 26996188887360/(1x24)
LCM = 26996188887360/24
LCM = 1124841203640
Thus, we can understand that the LCM of 398,326,834,405,616 is 1124841203640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 326, 834, 405, 616?
Answer: LCM of 398, 326, 834, 405, 616 is 1124841203640.
2. How to calculate the LCM of 398, 326, 834, 405, 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 398, 326, 834, 405, 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}.