Find the LCM of 572, 564, 214, 165, 486 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 572, 564, 214, 165, 486. So, keep reading to learn more.
Given numbers are 572,564,214,165,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,564,214,165,486 is 3495054420.
Find LCM of 572,564,214,165,486 with Prime Factorization
2 | 572, 564, 214, 165, 486 |
2 | 286, 282, 107, 165, 243 |
3 | 143, 141, 107, 165, 243 |
11 | 143, 47, 107, 55, 81 |
13, 47, 107, 5, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 47 x 107 x 5 x 81 = 3495054420
Therefore, the lowest common multiple of 572,564,214,165,486 is 3495054420.
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.
572 x 564 x 214 x 165 x 486 = 5536166201280
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
214 : 1, 2, 107, 214
165 : 1, 3, 5, 11, 15, 33, 55, 165
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,564,214,165,486, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
564:2x 2x 3x 47
214:2x 107
165:3x 5x 11
486:2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 5536166201280/(1x1584)
LCM = 5536166201280/1584
LCM = 3495054420
Thus, we can understand that the LCM of 572,564,214,165,486 is 3495054420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 564, 214, 165, 486?
Answer: LCM of 572, 564, 214, 165, 486 is 3495054420.
2. How to calculate the LCM of 572, 564, 214, 165, 486?
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 572, 564, 214, 165, 486.
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}.