LCM of 264, 321, 784, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 321, 784, 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 264, 321, 784, 924. So, keep reading to learn more.
Given numbers are 264,321,784,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,321,784,924 is 2768304.
Find LCM of 264,321,784,924 with Prime Factorization
| 2 | 264, 321, 784, 924 |
| 2 | 132, 321, 392, 462 |
| 2 | 66, 321, 196, 231 |
| 3 | 33, 321, 98, 231 |
| 7 | 11, 107, 98, 77 |
| 11 | 11, 107, 14, 11 |
| 1, 107, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 1 x 107 x 14 x 1 = 2768304
Therefore, the lowest common multiple of 264,321,784,924 is 2768304.
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.
264 x 321 x 784 x 924 = 61389909504
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
321 : 1, 3, 107, 321
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 264,321,784,924, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
321:3x 107
784:2x 2x 2x 2x 7x 7
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 3x 7x 11 = 22176
Therefore, the value for common factors is 22176.
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 = 61389909504/(1x22176)
LCM = 61389909504/22176
LCM = 2768304
Thus, we can understand that the LCM of 264,321,784,924 is 2768304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 264, 321, 784, 924
1. What is the LCM of 264, 321, 784, 924?
Answer: LCM of 264, 321, 784, 924 is 2768304.
2. How to calculate the LCM of 264, 321, 784, 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 264, 321, 784, 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}.