Given numbers are 723,811,351,349,660

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

The LCM of 723,811,351,349,660 is 5267361450780.

Find LCM of 723,811,351,349,660 with Prime Factorization

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

3 x 241 x 811 x 117 x 349 x 220 = 5267361450780

Therefore, the lowest common multiple of 723,811,351,349,660 is 5267361450780.

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.

723 x 811 x 351 x 349 x 660 = 47406253057020

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.

723 : 1, 3, 241, 723

811 : 1, 811

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

349 : 1, 349

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,811,351,349,660, is 1.

Now, the common factors can be found like this.

723:3x 241

811:811

351:3x 3x 3x 13

349:349

660:2x 2x 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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 47406253057020/(1x9)

LCM = 47406253057020/9

LCM = 5267361450780

Thus, we can understand that the LCM of 723,811,351,349,660 is 5267361450780.

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

• LCM of 270, 489, 741, 983, 617
• LCM of 271, 466, 687, 646, 625
• LCM of 833, 686, 867, 415, 300
• LCM of 534, 743, 904, 426, 793
• LCM of 378, 775, 529, 874, 311

1. What is the LCM of 723, 811, 351, 349, 660?

Answer: LCM of 723, 811, 351, 349, 660 is 5267361450780.

2. How to calculate the LCM of 723, 811, 351, 349, 660?

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 723, 811, 351, 349, 660.

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}.