Find the LCM of 469, 439, 572, 165 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 469, 439, 572, 165. So, keep reading to learn more.
Given numbers are 469,439,572,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,439,572,165 is 1766544780.
Find LCM of 469,439,572,165 with Prime Factorization
11 | 469, 439, 572, 165 |
469, 439, 52, 15 |
Multiply the prime numbers at the bottom and the left side.
11 x 469 x 439 x 52 x 15 = 1766544780
Therefore, the lowest common multiple of 469,439,572,165 is 1766544780.
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.
469 x 439 x 572 x 165 = 19431992580
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.
469 : 1, 7, 67, 469
439 : 1, 439
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,439,572,165, is 1.
Now, the common factors can be found like this.
469:7x 67
439:439
572:2x 2x 11x 13
165:3x 5x 11
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 = 19431992580/(1x11)
LCM = 19431992580/11
LCM = 1766544780
Thus, we can understand that the LCM of 469,439,572,165 is 1766544780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 439, 572, 165?
Answer: LCM of 469, 439, 572, 165 is 1766544780.
2. How to calculate the LCM of 469, 439, 572, 165?
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 469, 439, 572, 165.
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}.