Find the LCM of 220, 556, 642, 834 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 220, 556, 642, 834. So, keep reading to learn more.
Given numbers are 220,556,642,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,556,642,834 is 9816180.
Find LCM of 220,556,642,834 with Prime Factorization
2 | 220, 556, 642, 834 |
2 | 110, 278, 321, 417 |
3 | 55, 139, 321, 417 |
139 | 55, 139, 107, 139 |
55, 1, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 55 x 1 x 107 x 1 = 9816180
Therefore, the lowest common multiple of 220,556,642,834 is 9816180.
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.
220 x 556 x 642 x 834 = 65493552960
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
556 : 1, 2, 4, 139, 278, 556
642 : 1, 2, 3, 6, 107, 214, 321, 642
834 : 1, 2, 3, 6, 139, 278, 417, 834
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,556,642,834, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
556:2x 2x 139
642:2x 3x 107
834:2x 3x 139
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 139 = 3336
Therefore, the value for common factors is 3336.
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 = 65493552960/(2x3336)
LCM = 65493552960/6672
LCM = 9816180
Thus, we can understand that the LCM of 220,556,642,834 is 9816180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 556, 642, 834?
Answer: LCM of 220, 556, 642, 834 is 9816180.
2. How to calculate the LCM of 220, 556, 642, 834?
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 220, 556, 642, 834.
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}.