Given numbers are 308,497,704,852,136

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

The LCM of 308,497,704,852,136 is 17844288.

Find LCM of 308,497,704,852,136 with Prime Factorization

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

2 x 2 x 2 x 7 x 11 x 71 x 1 x 1 x 8 x 3 x 17 = 17844288

Therefore, the lowest common multiple of 308,497,704,852,136 is 17844288.

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.

308 x 497 x 704 x 852 x 136 = 12487004479488

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

497 : 1, 7, 71, 497

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,497,704,852,136, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

497:7x 71

704:2x 2x 2x 2x 2x 2x 11

852:2x 2x 3x 71

136:2x 2x 2x 17

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 2x 2x 7x 11x 71 = 699776

Therefore, the value for common factors is 699776.

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 = 12487004479488/(1x699776)

LCM = 12487004479488/699776

LCM = 17844288

Thus, we can understand that the LCM of 308,497,704,852,136 is 17844288.

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

• LCM of 242, 788, 414, 210, 853
• LCM of 450, 816, 454, 735, 820
• LCM of 408, 585, 881, 682, 217
• LCM of 406, 778, 163, 654, 660
• LCM of 786, 741, 608, 788, 470

1. What is the LCM of 308, 497, 704, 852, 136?

Answer: LCM of 308, 497, 704, 852, 136 is 17844288.

2. How to calculate the LCM of 308, 497, 704, 852, 136?

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 308, 497, 704, 852, 136.

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}.