Given numbers are 514,864,538,460,829

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

The LCM of 514,864,538,460,829 is 5694446495520.

Find LCM of 514,864,538,460,829 with Prime Factorization

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

2 x 2 x 257 x 216 x 269 x 115 x 829 = 5694446495520

Therefore, the lowest common multiple of 514,864,538,460,829 is 5694446495520.

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.

514 x 864 x 538 x 460 x 829 = 91111143928320

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.

514 : 1, 2, 257, 514

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

538 : 1, 2, 269, 538

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,864,538,460,829, is 1.

Now, the common factors can be found like this.

514:2x 257

864:2x 2x 2x 2x 2x 3x 3x 3

538:2x 269

460:2x 2x 5x 23

829:829

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 2 = 16

Therefore, the value for common factors is 16.

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 = 91111143928320/(1x16)

LCM = 91111143928320/16

LCM = 5694446495520

Thus, we can understand that the LCM of 514,864,538,460,829 is 5694446495520.

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

• LCM of 360, 383, 966, 316, 325
• LCM of 642, 608, 144, 155, 174
• LCM of 889, 551, 217, 712, 930
• LCM of 467, 500, 825, 261, 627
• LCM of 629, 646, 758, 866, 625

1. What is the LCM of 514, 864, 538, 460, 829?

Answer: LCM of 514, 864, 538, 460, 829 is 5694446495520.

2. How to calculate the LCM of 514, 864, 538, 460, 829?

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 514, 864, 538, 460, 829.

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}.