Find the LCM of 888, 644, 888, 394, 467 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, 644, 888, 394, 467. So, keep reading to learn more.
Given numbers are 888,644,888,394,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,644,888,394,467 is 13152913032.
Find LCM of 888,644,888,394,467 with Prime Factorization
2 | 888, 644, 888, 394, 467 |
2 | 444, 322, 444, 197, 467 |
2 | 222, 161, 222, 197, 467 |
3 | 111, 161, 111, 197, 467 |
37 | 37, 161, 37, 197, 467 |
1, 161, 1, 197, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 1 x 161 x 1 x 197 x 467 = 13152913032
Therefore, the lowest common multiple of 888,644,888,394,467 is 13152913032.
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 644 x 888 x 394 x 467 = 93438294179328
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
394 : 1, 2, 197, 394
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,644,888,394,467, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
644:2x 2x 7x 23
888:2x 2x 2x 3x 37
394:2x 197
467:467
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 2x 3x 37 = 7104
Therefore, the value for common factors is 7104.
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 = 93438294179328/(1x7104)
LCM = 93438294179328/7104
LCM = 13152913032
Thus, we can understand that the LCM of 888,644,888,394,467 is 13152913032.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 644, 888, 394, 467?
Answer: LCM of 888, 644, 888, 394, 467 is 13152913032.
2. How to calculate the LCM of 888, 644, 888, 394, 467?
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, 644, 888, 394, 467.
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}.