Find the LCM of 396, 256, 869, 506 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 396, 256, 869, 506. So, keep reading to learn more.
Given numbers are 396,256,869,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,256,869,506 is 46050048.
Find LCM of 396,256,869,506 with Prime Factorization
2 | 396, 256, 869, 506 |
2 | 198, 128, 869, 253 |
11 | 99, 64, 869, 253 |
9, 64, 79, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 9 x 64 x 79 x 23 = 46050048
Therefore, the lowest common multiple of 396,256,869,506 is 46050048.
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.
396 x 256 x 869 x 506 = 44576446464
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
869 : 1, 11, 79, 869
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,256,869,506, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
256:2x 2x 2x 2x 2x 2x 2x 2
869:11x 79
506:2x 11x 23
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 44576446464/(1x968)
LCM = 44576446464/968
LCM = 46050048
Thus, we can understand that the LCM of 396,256,869,506 is 46050048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 256, 869, 506?
Answer: LCM of 396, 256, 869, 506 is 46050048.
2. How to calculate the LCM of 396, 256, 869, 506?
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 396, 256, 869, 506.
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}.