Given numbers are 438,466,351,560,542

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 438,466,351,560,542 is 906031329840.

Find LCM of 438,466,351,560,542 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 73 x 233 x 117 x 280 x 271 = 906031329840

Therefore, the lowest common multiple of 438,466,351,560,542 is 906031329840.

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.

438 x 466 x 351 x 560 x 542 = 21744751916160

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

466 : 1, 2, 233, 466

351 : 1, 3, 9, 13, 27, 39, 117, 351

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,466,351,560,542, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

466:2x 233

351:3x 3x 3x 13

560:2x 2x 2x 2x 5x 7

542:2x 271

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 3 = 24

Therefore, the value for common factors is 24.

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 = 21744751916160/(1x24)

LCM = 21744751916160/24

LCM = 906031329840

Thus, we can understand that the LCM of 438,466,351,560,542 is 906031329840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 629, 597, 743, 396, 374
• LCM of 903, 580, 127, 343, 158
• LCM of 921, 296, 179, 258, 874
• LCM of 929, 589, 304, 905, 946
• LCM of 903, 920, 630, 318, 563

1. What is the LCM of 438, 466, 351, 560, 542?

Answer: LCM of 438, 466, 351, 560, 542 is 906031329840.

2. How to calculate the LCM of 438, 466, 351, 560, 542?

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 438, 466, 351, 560, 542.

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}.