Find the LCM of 642, 284, 852, 483 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 642, 284, 852, 483. So, keep reading to learn more.
Given numbers are 642,284,852,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,284,852,483 is 14677404.
Find LCM of 642,284,852,483 with Prime Factorization
2 | 642, 284, 852, 483 |
2 | 321, 142, 426, 483 |
3 | 321, 71, 213, 483 |
71 | 107, 71, 71, 161 |
107, 1, 1, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 107 x 1 x 1 x 161 = 14677404
Therefore, the lowest common multiple of 642,284,852,483 is 14677404.
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.
642 x 284 x 852 x 483 = 75030889248
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
284 : 1, 2, 4, 71, 142, 284
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,284,852,483, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
284:2x 2x 71
852:2x 2x 3x 71
483:3x 7x 23
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 3x 3x 71 = 5112
Therefore, the value for common factors is 5112.
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 = 75030889248/(1x5112)
LCM = 75030889248/5112
LCM = 14677404
Thus, we can understand that the LCM of 642,284,852,483 is 14677404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 284, 852, 483?
Answer: LCM of 642, 284, 852, 483 is 14677404.
2. How to calculate the LCM of 642, 284, 852, 483?
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 642, 284, 852, 483.
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}.