Find the LCM of 553, 646, 395, 928 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 553, 646, 395, 928. So, keep reading to learn more.
Given numbers are 553,646,395,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,646,395,928 is 828792160.
Find LCM of 553,646,395,928 with Prime Factorization
2 | 553, 646, 395, 928 |
79 | 553, 323, 395, 464 |
7, 323, 5, 464 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 7 x 323 x 5 x 464 = 828792160
Therefore, the lowest common multiple of 553,646,395,928 is 828792160.
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.
553 x 646 x 395 x 928 = 130949161280
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.
553 : 1, 7, 79, 553
646 : 1, 2, 17, 19, 34, 38, 323, 646
395 : 1, 5, 79, 395
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,646,395,928, is 1.
Now, the common factors can be found like this.
553:7x 79
646:2x 17x 19
395:5x 79
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 130949161280/(1x158)
LCM = 130949161280/158
LCM = 828792160
Thus, we can understand that the LCM of 553,646,395,928 is 828792160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 646, 395, 928?
Answer: LCM of 553, 646, 395, 928 is 828792160.
2. How to calculate the LCM of 553, 646, 395, 928?
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 553, 646, 395, 928.
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}.