Find the LCM of 110, 561, 473, 899, 817 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 110, 561, 473, 899, 817. So, keep reading to learn more.
Given numbers are 110,561,473,899,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,561,473,899,817 is 4120449630.
Find LCM of 110,561,473,899,817 with Prime Factorization
11 | 110, 561, 473, 899, 817 |
43 | 10, 51, 43, 899, 817 |
10, 51, 1, 899, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 10 x 51 x 1 x 899 x 19 = 4120449630
Therefore, the lowest common multiple of 110,561,473,899,817 is 4120449630.
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.
110 x 561 x 473 x 899 x 817 = 21438699424890
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
561 : 1, 3, 11, 17, 33, 51, 187, 561
473 : 1, 11, 43, 473
899 : 1, 29, 31, 899
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,561,473,899,817, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
561:3x 11x 17
473:11x 43
899:29x 31
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 43 = 5203
Therefore, the value for common factors is 5203.
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 = 21438699424890/(1x5203)
LCM = 21438699424890/5203
LCM = 4120449630
Thus, we can understand that the LCM of 110,561,473,899,817 is 4120449630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 110, 561, 473, 899, 817?
Answer: LCM of 110, 561, 473, 899, 817 is 4120449630.
2. How to calculate the LCM of 110, 561, 473, 899, 817?
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 110, 561, 473, 899, 817.
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}.