Find the LCM of 888, 703, 323, 817 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 888, 703, 323, 817. So, keep reading to learn more.
Given numbers are 888,703,323,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,703,323,817 is 12333432.
Find LCM of 888,703,323,817 with Prime Factorization
19 | 888, 703, 323, 817 |
37 | 888, 37, 17, 43 |
24, 1, 17, 43 |
Multiply the prime numbers at the bottom and the left side.
19 x 37 x 24 x 1 x 17 x 43 = 12333432
Therefore, the lowest common multiple of 888,703,323,817 is 12333432.
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.
888 x 703 x 323 x 817 = 164737651224
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
703 : 1, 19, 37, 703
323 : 1, 17, 19, 323
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,703,323,817, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
703:19x 37
323:17x 19
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19x 37 = 13357
Therefore, the value for common factors is 13357.
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 = 164737651224/(1x13357)
LCM = 164737651224/13357
LCM = 12333432
Thus, we can understand that the LCM of 888,703,323,817 is 12333432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 703, 323, 817?
Answer: LCM of 888, 703, 323, 817 is 12333432.
2. How to calculate the LCM of 888, 703, 323, 817?
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 888, 703, 323, 817.
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}.