Find the LCM of 163, 803, 561, 149, 409 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 163, 803, 561, 149, 409. So, keep reading to learn more.
Given numbers are 163,803,561,149,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,803,561,149,409 is 406801833999.
Find LCM of 163,803,561,149,409 with Prime Factorization
11 | 163, 803, 561, 149, 409 |
163, 73, 51, 149, 409 |
Multiply the prime numbers at the bottom and the left side.
11 x 163 x 73 x 51 x 149 x 409 = 406801833999
Therefore, the lowest common multiple of 163,803,561,149,409 is 406801833999.
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.
163 x 803 x 561 x 149 x 409 = 4474820173989
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.
163 : 1, 163
803 : 1, 11, 73, 803
561 : 1, 3, 11, 17, 33, 51, 187, 561
149 : 1, 149
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,803,561,149,409, is 1.
Now, the common factors can be found like this.
163:163
803:11x 73
561:3x 11x 17
149:149
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 4474820173989/(1x11)
LCM = 4474820173989/11
LCM = 406801833999
Thus, we can understand that the LCM of 163,803,561,149,409 is 406801833999.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 163, 803, 561, 149, 409?
Answer: LCM of 163, 803, 561, 149, 409 is 406801833999.
2. How to calculate the LCM of 163, 803, 561, 149, 409?
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 163, 803, 561, 149, 409.
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}.