Given numbers are 494,782,873,564,723

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

The LCM of 494,782,873,564,723 is 3819995455068.

Find LCM of 494,782,873,564,723 with Prime Factorization

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

2 x 3 x 247 x 391 x 291 x 94 x 241 = 3819995455068

Therefore, the lowest common multiple of 494,782,873,564,723 is 3819995455068.

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.

494 x 782 x 873 x 564 x 723 = 137519836382448

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

782 : 1, 2, 17, 23, 34, 46, 391, 782

873 : 1, 3, 9, 97, 291, 873

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,782,873,564,723, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

782:2x 17x 23

873:3x 3x 97

564:2x 2x 3x 47

723:3x 241

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 137519836382448/(1x36)

LCM = 137519836382448/36

LCM = 3819995455068

Thus, we can understand that the LCM of 494,782,873,564,723 is 3819995455068.

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

• LCM of 764, 656, 918, 256, 295
• LCM of 692, 547, 459, 789, 523
• LCM of 527, 184, 999, 887, 952
• LCM of 720, 651, 193, 748, 554
• LCM of 410, 978, 938, 265, 448

1. What is the LCM of 494, 782, 873, 564, 723?

Answer: LCM of 494, 782, 873, 564, 723 is 3819995455068.

2. How to calculate the LCM of 494, 782, 873, 564, 723?

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 494, 782, 873, 564, 723.

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}.