Given numbers are 460,529,494,483,690

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

The LCM of 460,529,494,483,690 is 54878460.

Find LCM of 460,529,494,483,690 with Prime Factorization

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

2 x 3 x 5 x 23 x 2 x 1 x 247 x 7 x 23 = 54878460

Therefore, the lowest common multiple of 460,529,494,483,690 is 54878460.

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.

460 x 529 x 494 x 483 x 690 = 40062373369200

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

529 : 1, 23, 529

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,529,494,483,690, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

529:23x 23

494:2x 13x 19

483:3x 7x 23

690:2x 3x 5x 23

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 5x 23x 23x 23 = 730020

Therefore, the value for common factors is 730020.

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 = 40062373369200/(1x730020)

LCM = 40062373369200/730020

LCM = 54878460

Thus, we can understand that the LCM of 460,529,494,483,690 is 54878460.

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

• LCM of 534, 814, 626, 995, 589
• LCM of 591, 823, 636, 787, 559
• LCM of 746, 296, 973, 482, 176
• LCM of 683, 640, 925, 345, 388
• LCM of 895, 270, 925, 935, 872

1. What is the LCM of 460, 529, 494, 483, 690?

Answer: LCM of 460, 529, 494, 483, 690 is 54878460.

2. How to calculate the LCM of 460, 529, 494, 483, 690?

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 460, 529, 494, 483, 690.

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}.