Find the LCM of 726, 542, 221, 507, 585 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 726, 542, 221, 507, 585. So, keep reading to learn more.
Given numbers are 726,542,221,507,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,542,221,507,585 is 8478768870.
Find LCM of 726,542,221,507,585 with Prime Factorization
2 | 726, 542, 221, 507, 585 |
3 | 363, 271, 221, 507, 585 |
13 | 121, 271, 221, 169, 195 |
121, 271, 17, 13, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 121 x 271 x 17 x 13 x 15 = 8478768870
Therefore, the lowest common multiple of 726,542,221,507,585 is 8478768870.
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.
726 x 542 x 221 x 507 x 585 = 25792414902540
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
542 : 1, 2, 271, 542
221 : 1, 13, 17, 221
507 : 1, 3, 13, 39, 169, 507
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,542,221,507,585, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
542:2x 271
221:13x 17
507:3x 13x 13
585:3x 3x 5x 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 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 25792414902540/(1x3042)
LCM = 25792414902540/3042
LCM = 8478768870
Thus, we can understand that the LCM of 726,542,221,507,585 is 8478768870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 726, 542, 221, 507, 585?
Answer: LCM of 726, 542, 221, 507, 585 is 8478768870.
2. How to calculate the LCM of 726, 542, 221, 507, 585?
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 726, 542, 221, 507, 585.
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}.