Given numbers are 437,828,115,742,440

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

The LCM of 437,828,115,742,440 is 642022920.

Find LCM of 437,828,115,742,440 with Prime Factorization

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

2 x 2 x 5 x 23 x 19 x 9 x 1 x 371 x 22 = 642022920

Therefore, the lowest common multiple of 437,828,115,742,440 is 642022920.

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.

437 x 828 x 115 x 742 x 440 = 13585204987200

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.

437 : 1, 19, 23, 437

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

115 : 1, 5, 23, 115

742 : 1, 2, 7, 14, 53, 106, 371, 742

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,828,115,742,440, is 1.

Now, the common factors can be found like this.

437:19x 23

828:2x 2x 3x 3x 23

115:5x 23

742:2x 7x 53

440:2x 2x 2x 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.

2x 2x 2x 5x 23x 23 = 21160

Therefore, the value for common factors is 21160.

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 = 13585204987200/(1x21160)

LCM = 13585204987200/21160

LCM = 642022920

Thus, we can understand that the LCM of 437,828,115,742,440 is 642022920.

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

• LCM of 952, 943, 891, 957, 426
• LCM of 982, 804, 378, 667, 138
• LCM of 864, 149, 754, 796, 804
• LCM of 449, 892, 136, 414, 614
• LCM of 560, 854, 499, 344, 168

1. What is the LCM of 437, 828, 115, 742, 440?

Answer: LCM of 437, 828, 115, 742, 440 is 642022920.

2. How to calculate the LCM of 437, 828, 115, 742, 440?

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 437, 828, 115, 742, 440.

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}.