Given numbers are 829,390,136,494,399

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

The LCM of 829,390,136,494,399 is 2924015640.

Find LCM of 829,390,136,494,399 with Prime Factorization

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

2 x 3 x 13 x 19 x 829 x 5 x 68 x 1 x 7 = 2924015640

Therefore, the lowest common multiple of 829,390,136,494,399 is 2924015640.

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 390 x 136 x 494 x 399 = 8666782356960

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,390,136,494,399, is 1.

Now, the common factors can be found like this.

829:829

390:2x 3x 5x 13

136:2x 2x 2x 17

494:2x 13x 19

399:3x 7x 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 2x 3x 13x 19 = 2964

Therefore, the value for common factors is 2964.

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 = 8666782356960/(1x2964)

LCM = 8666782356960/2964

LCM = 2924015640

Thus, we can understand that the LCM of 829,390,136,494,399 is 2924015640.

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

• LCM of 691, 683, 417, 584, 967
• LCM of 946, 802, 275, 780, 191
• LCM of 608, 926, 369, 548, 165
• LCM of 974, 883, 354, 619, 544
• LCM of 684, 323, 547, 227, 167

1. What is the LCM of 829, 390, 136, 494, 399?

Answer: LCM of 829, 390, 136, 494, 399 is 2924015640.

2. How to calculate the LCM of 829, 390, 136, 494, 399?

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, 390, 136, 494, 399.

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}.