Find the LCM of 829, 320, 362, 343, 993 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 829, 320, 362, 343, 993. So, keep reading to learn more.
Given numbers are 829,320,362,343,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,320,362,343,993 is 16354092592320.
Find LCM of 829,320,362,343,993 with Prime Factorization
2 | 829, 320, 362, 343, 993 |
829, 160, 181, 343, 993 |
Multiply the prime numbers at the bottom and the left side.
2 x 829 x 160 x 181 x 343 x 993 = 16354092592320
Therefore, the lowest common multiple of 829,320,362,343,993 is 16354092592320.
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.
829 x 320 x 362 x 343 x 993 = 32708185184640
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.
829 : 1, 829
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
362 : 1, 2, 181, 362
343 : 1, 7, 49, 343
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,320,362,343,993, is 1.
Now, the common factors can be found like this.
829:829
320:2x 2x 2x 2x 2x 2x 5
362:2x 181
343:7x 7x 7
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 32708185184640/(1x2)
LCM = 32708185184640/2
LCM = 16354092592320
Thus, we can understand that the LCM of 829,320,362,343,993 is 16354092592320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 320, 362, 343, 993?
Answer: LCM of 829, 320, 362, 343, 993 is 16354092592320.
2. How to calculate the LCM of 829, 320, 362, 343, 993?
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 829, 320, 362, 343, 993.
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}.