Find the LCM of 811, 488, 528, 924 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 811, 488, 528, 924. So, keep reading to learn more.
Given numbers are 811,488,528,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,488,528,924 is 182844816.
Find LCM of 811,488,528,924 with Prime Factorization
2 | 811, 488, 528, 924 |
2 | 811, 244, 264, 462 |
2 | 811, 122, 132, 231 |
3 | 811, 61, 66, 231 |
11 | 811, 61, 22, 77 |
811, 61, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 811 x 61 x 2 x 7 = 182844816
Therefore, the lowest common multiple of 811,488,528,924 is 182844816.
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.
811 x 488 x 528 x 924 = 193084125696
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.
811 : 1, 811
488 : 1, 2, 4, 8, 61, 122, 244, 488
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,488,528,924, is 1.
Now, the common factors can be found like this.
811:811
488:2x 2x 2x 61
528:2x 2x 2x 2x 3x 11
924:2x 2x 3x 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 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 193084125696/(1x1056)
LCM = 193084125696/1056
LCM = 182844816
Thus, we can understand that the LCM of 811,488,528,924 is 182844816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 811, 488, 528, 924?
Answer: LCM of 811, 488, 528, 924 is 182844816.
2. How to calculate the LCM of 811, 488, 528, 924?
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 811, 488, 528, 924.
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}.