Find the LCM of 395, 474, 570, 871, 984 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 395, 474, 570, 871, 984. So, keep reading to learn more.
Given numbers are 395,474,570,871,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,474,570,871,984 is 6432265320.
Find LCM of 395,474,570,871,984 with Prime Factorization
2 | 395, 474, 570, 871, 984 |
3 | 395, 237, 285, 871, 492 |
5 | 395, 79, 95, 871, 164 |
79 | 79, 79, 19, 871, 164 |
1, 1, 19, 871, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 1 x 1 x 19 x 871 x 164 = 6432265320
Therefore, the lowest common multiple of 395,474,570,871,984 is 6432265320.
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.
395 x 474 x 570 x 871 x 984 = 91466812850400
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.
395 : 1, 5, 79, 395
474 : 1, 2, 3, 6, 79, 158, 237, 474
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
871 : 1, 13, 67, 871
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,474,570,871,984, is 1.
Now, the common factors can be found like this.
395:5x 79
474:2x 3x 79
570:2x 3x 5x 19
871:13x 67
984:2x 2x 2x 3x 41
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 3x 3x 5x 79 = 14220
Therefore, the value for common factors is 14220.
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 = 91466812850400/(1x14220)
LCM = 91466812850400/14220
LCM = 6432265320
Thus, we can understand that the LCM of 395,474,570,871,984 is 6432265320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 395, 474, 570, 871, 984?
Answer: LCM of 395, 474, 570, 871, 984 is 6432265320.
2. How to calculate the LCM of 395, 474, 570, 871, 984?
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 395, 474, 570, 871, 984.
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}.