Find the LCM of 567, 882, 201, 646, 637 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 567, 882, 201, 646, 637. So, keep reading to learn more.
Given numbers are 567,882,201,646,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,882,201,646,637 is 2233221354.
Find LCM of 567,882,201,646,637 with Prime Factorization
2 | 567, 882, 201, 646, 637 |
3 | 567, 441, 201, 323, 637 |
3 | 189, 147, 67, 323, 637 |
7 | 63, 49, 67, 323, 637 |
7 | 9, 7, 67, 323, 91 |
9, 1, 67, 323, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 9 x 1 x 67 x 323 x 13 = 2233221354
Therefore, the lowest common multiple of 567,882,201,646,637 is 2233221354.
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.
567 x 882 x 201 x 646 x 637 = 41363725918788
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
201 : 1, 3, 67, 201
646 : 1, 2, 17, 19, 34, 38, 323, 646
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,882,201,646,637, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
882:2x 3x 3x 7x 7
201:3x 67
646:2x 17x 19
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 7x 7 = 18522
Therefore, the value for common factors is 18522.
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 = 41363725918788/(1x18522)
LCM = 41363725918788/18522
LCM = 2233221354
Thus, we can understand that the LCM of 567,882,201,646,637 is 2233221354.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 882, 201, 646, 637?
Answer: LCM of 567, 882, 201, 646, 637 is 2233221354.
2. How to calculate the LCM of 567, 882, 201, 646, 637?
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 567, 882, 201, 646, 637.
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}.