Find the LCM of 820, 629, 533, 779, 211 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 820, 629, 533, 779, 211. So, keep reading to learn more.
Given numbers are 820,629,533,779,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,629,533,779,211 is 26880906260.
Find LCM of 820,629,533,779,211 with Prime Factorization
41 | 820, 629, 533, 779, 211 |
20, 629, 13, 19, 211 |
Multiply the prime numbers at the bottom and the left side.
41 x 20 x 629 x 13 x 19 x 211 = 26880906260
Therefore, the lowest common multiple of 820,629,533,779,211 is 26880906260.
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.
820 x 629 x 533 x 779 x 211 = 45186803423060
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
629 : 1, 17, 37, 629
533 : 1, 13, 41, 533
779 : 1, 19, 41, 779
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,629,533,779,211, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
629:17x 37
533:13x 41
779:19x 41
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41x 41 = 1681
Therefore, the value for common factors is 1681.
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 = 45186803423060/(1x1681)
LCM = 45186803423060/1681
LCM = 26880906260
Thus, we can understand that the LCM of 820,629,533,779,211 is 26880906260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 629, 533, 779, 211?
Answer: LCM of 820, 629, 533, 779, 211 is 26880906260.
2. How to calculate the LCM of 820, 629, 533, 779, 211?
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 820, 629, 533, 779, 211.
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}.