Find the LCM of 826, 379, 851, 368, 213 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 826, 379, 851, 368, 213. So, keep reading to learn more.
Given numbers are 826,379,851,368,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,379,851,368,213 is 453960857616.
Find LCM of 826,379,851,368,213 with Prime Factorization
2 | 826, 379, 851, 368, 213 |
23 | 413, 379, 851, 184, 213 |
413, 379, 37, 8, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 413 x 379 x 37 x 8 x 213 = 453960857616
Therefore, the lowest common multiple of 826,379,851,368,213 is 453960857616.
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.
826 x 379 x 851 x 368 x 213 = 20882199450336
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
379 : 1, 379
851 : 1, 23, 37, 851
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,379,851,368,213, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
379:379
851:23x 37
368:2x 2x 2x 2x 23
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 20882199450336/(1x46)
LCM = 20882199450336/46
LCM = 453960857616
Thus, we can understand that the LCM of 826,379,851,368,213 is 453960857616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 826, 379, 851, 368, 213?
Answer: LCM of 826, 379, 851, 368, 213 is 453960857616.
2. How to calculate the LCM of 826, 379, 851, 368, 213?
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 826, 379, 851, 368, 213.
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}.