Find the LCM of 822, 663, 832, 289, 875 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 822, 663, 832, 289, 875. So, keep reading to learn more.
Given numbers are 822,663,832,289,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,663,832,289,875 is 86471112000.
Find LCM of 822,663,832,289,875 with Prime Factorization
2 | 822, 663, 832, 289, 875 |
3 | 411, 663, 416, 289, 875 |
13 | 137, 221, 416, 289, 875 |
17 | 137, 17, 32, 289, 875 |
137, 1, 32, 17, 875 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 137 x 1 x 32 x 17 x 875 = 86471112000
Therefore, the lowest common multiple of 822,663,832,289,875 is 86471112000.
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.
822 x 663 x 832 x 289 x 875 = 114660694512000
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
663 : 1, 3, 13, 17, 39, 51, 221, 663
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
289 : 1, 17, 289
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,663,832,289,875, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
663:3x 13x 17
832:2x 2x 2x 2x 2x 2x 13
289:17x 17
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 114660694512000/(1x1326)
LCM = 114660694512000/1326
LCM = 86471112000
Thus, we can understand that the LCM of 822,663,832,289,875 is 86471112000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 663, 832, 289, 875?
Answer: LCM of 822, 663, 832, 289, 875 is 86471112000.
2. How to calculate the LCM of 822, 663, 832, 289, 875?
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 822, 663, 832, 289, 875.
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}.