Given numbers are 504,460,473,696,781

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

The LCM of 504,460,473,696,781 is 56447649720.

Find LCM of 504,460,473,696,781 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 21 x 115 x 43 x 29 x 71 = 56447649720

Therefore, the lowest common multiple of 504,460,473,696,781 is 56447649720.

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.

504 x 460 x 473 x 696 x 781 = 59608718104320

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

473 : 1, 11, 43, 473

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,460,473,696,781, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

460:2x 2x 5x 23

473:11x 43

696:2x 2x 2x 3x 29

781:11x 71

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 2x 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 59608718104320/(1x1056)

LCM = 59608718104320/1056

LCM = 56447649720

Thus, we can understand that the LCM of 504,460,473,696,781 is 56447649720.

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

• LCM of 190, 872, 936, 994, 757
• LCM of 424, 389, 142, 650, 705
• LCM of 783, 879, 406, 525, 585
• LCM of 528, 981, 460, 832, 833
• LCM of 381, 736, 812, 874, 353

1. What is the LCM of 504, 460, 473, 696, 781?

Answer: LCM of 504, 460, 473, 696, 781 is 56447649720.

2. How to calculate the LCM of 504, 460, 473, 696, 781?

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 504, 460, 473, 696, 781.

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}.