Given numbers are 829,285,522,136,513

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

The LCM of 829,285,522,136,513 is 8386462440.

Find LCM of 829,285,522,136,513 with Prime Factorization

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

2 x 3 x 3 x 19 x 829 x 5 x 29 x 68 x 3 = 8386462440

Therefore, the lowest common multiple of 829,285,522,136,513 is 8386462440.

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.

829 x 285 x 522 x 136 x 513 = 8604510463440

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.

829 : 1, 829

285 : 1, 3, 5, 15, 19, 57, 95, 285

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

136 : 1, 2, 4, 8, 17, 34, 68, 136

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,285,522,136,513, is 1.

Now, the common factors can be found like this.

829:829

285:3x 5x 19

522:2x 3x 3x 29

136:2x 2x 2x 17

513:3x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 19 = 1026

Therefore, the value for common factors is 1026.

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 = 8604510463440/(1x1026)

LCM = 8604510463440/1026

LCM = 8386462440

Thus, we can understand that the LCM of 829,285,522,136,513 is 8386462440.

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

• LCM of 967, 195, 998, 911, 998
• LCM of 909, 468, 737, 916, 154
• LCM of 399, 878, 812, 743, 636
• LCM of 896, 481, 320, 931, 230
• LCM of 688, 880, 708, 514, 821

1. What is the LCM of 829, 285, 522, 136, 513?

Answer: LCM of 829, 285, 522, 136, 513 is 8386462440.

2. How to calculate the LCM of 829, 285, 522, 136, 513?

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 829, 285, 522, 136, 513.

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}.