Find the LCM of 415, 147, 165, 253, 564 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 415, 147, 165, 253, 564. So, keep reading to learn more.
Given numbers are 415,147,165,253,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,147,165,253,564 is 2901641820.
Find LCM of 415,147,165,253,564 with Prime Factorization
3 | 415, 147, 165, 253, 564 |
5 | 415, 49, 55, 253, 188 |
11 | 83, 49, 11, 253, 188 |
83, 49, 1, 23, 188 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 83 x 49 x 1 x 23 x 188 = 2901641820
Therefore, the lowest common multiple of 415,147,165,253,564 is 2901641820.
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.
415 x 147 x 165 x 253 x 564 = 1436312700900
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.
415 : 1, 5, 83, 415
147 : 1, 3, 7, 21, 49, 147
165 : 1, 3, 5, 11, 15, 33, 55, 165
253 : 1, 11, 23, 253
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,147,165,253,564, is 1.
Now, the common factors can be found like this.
415:5x 83
147:3x 7x 7
165:3x 5x 11
253:11x 23
564:2x 2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 1436312700900/(1x495)
LCM = 1436312700900/495
LCM = 2901641820
Thus, we can understand that the LCM of 415,147,165,253,564 is 2901641820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 415, 147, 165, 253, 564?
Answer: LCM of 415, 147, 165, 253, 564 is 2901641820.
2. How to calculate the LCM of 415, 147, 165, 253, 564?
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 415, 147, 165, 253, 564.
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}.