Given numbers are 734,840,418,506,443

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

The LCM of 734,840,418,506,443 is 656482568280.

Find LCM of 734,840,418,506,443 with Prime Factorization

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

2 x 11 x 367 x 420 x 19 x 23 x 443 = 656482568280

Therefore, the lowest common multiple of 734,840,418,506,443 is 656482568280.

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.

734 x 840 x 418 x 506 x 443 = 57770466008640

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.

734 : 1, 2, 367, 734

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

418 : 1, 2, 11, 19, 22, 38, 209, 418

506 : 1, 2, 11, 22, 23, 46, 253, 506

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,840,418,506,443, is 1.

Now, the common factors can be found like this.

734:2x 367

840:2x 2x 2x 3x 5x 7

418:2x 11x 19

506:2x 11x 23

443:443

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 11 = 88

Therefore, the value for common factors is 88.

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 = 57770466008640/(1x88)

LCM = 57770466008640/88

LCM = 656482568280

Thus, we can understand that the LCM of 734,840,418,506,443 is 656482568280.

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

• LCM of 899, 996, 687, 506, 138
• LCM of 200, 965, 170, 374, 733
• LCM of 429, 851, 376, 407, 151
• LCM of 356, 914, 257, 342, 205
• LCM of 171, 444, 383, 566, 665

1. What is the LCM of 734, 840, 418, 506, 443?

Answer: LCM of 734, 840, 418, 506, 443 is 656482568280.

2. How to calculate the LCM of 734, 840, 418, 506, 443?

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 734, 840, 418, 506, 443.

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}.