Find the LCM of 888, 989, 989, 413 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, 989, 989, 413. So, keep reading to learn more.
Given numbers are 888,989,989,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,989,989,413 is 362709816.
Find LCM of 888,989,989,413 with Prime Factorization
23 | 888, 989, 989, 413 |
43 | 888, 43, 43, 413 |
888, 1, 1, 413 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 888 x 1 x 1 x 413 = 362709816
Therefore, the lowest common multiple of 888,989,989,413 is 362709816.
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 989 x 989 x 413 = 358720008024
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
989 : 1, 23, 43, 989
989 : 1, 23, 43, 989
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,989,989,413, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
989:23x 43
989:23x 43
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 43 = 989
Therefore, the value for common factors is 989.
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 = 358720008024/(1x989)
LCM = 358720008024/989
LCM = 362709816
Thus, we can understand that the LCM of 888,989,989,413 is 362709816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 989, 989, 413?
Answer: LCM of 888, 989, 989, 413 is 362709816.
2. How to calculate the LCM of 888, 989, 989, 413?
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, 989, 989, 413.
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}.