Find the LCM of 871, 430, 432, 288, 608 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 871, 430, 432, 288, 608. So, keep reading to learn more.
Given numbers are 871,430,432,288,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,430,432,288,608 is 3074142240.
Find LCM of 871,430,432,288,608 with Prime Factorization
2 | 871, 430, 432, 288, 608 |
2 | 871, 215, 216, 144, 304 |
2 | 871, 215, 108, 72, 152 |
2 | 871, 215, 54, 36, 76 |
2 | 871, 215, 27, 18, 38 |
3 | 871, 215, 27, 9, 19 |
3 | 871, 215, 3, 9, 19 |
871, 215, 1, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 871 x 215 x 1 x 3 x 19 = 3074142240
Therefore, the lowest common multiple of 871,430,432,288,608 is 3074142240.
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.
871 x 430 x 432 x 288 x 608 = 28331294883840
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.
871 : 1, 13, 67, 871
430 : 1, 2, 5, 10, 43, 86, 215, 430
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,430,432,288,608, is 1.
Now, the common factors can be found like this.
871:13x 67
430:2x 5x 43
432:2x 2x 2x 2x 3x 3x 3
288:2x 2x 2x 2x 2x 3x 3
608:2x 2x 2x 2x 2x 19
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 2x 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 28331294883840/(1x9216)
LCM = 28331294883840/9216
LCM = 3074142240
Thus, we can understand that the LCM of 871,430,432,288,608 is 3074142240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 430, 432, 288, 608?
Answer: LCM of 871, 430, 432, 288, 608 is 3074142240.
2. How to calculate the LCM of 871, 430, 432, 288, 608?
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 871, 430, 432, 288, 608.
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}.