Given numbers are 704,849,588,214,924

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

The LCM of 704,849,588,214,924 is 3133720128.

Find LCM of 704,849,588,214,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 16 x 283 x 7 x 107 x 1 = 3133720128

Therefore, the lowest common multiple of 704,849,588,214,924 is 3133720128.

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.

704 x 849 x 588 x 214 x 924 = 69493377558528

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.

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

849 : 1, 3, 283, 849

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

214 : 1, 2, 107, 214

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,849,588,214,924, is 1.

Now, the common factors can be found like this.

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

849:3x 283

588:2x 2x 3x 7x 7

214:2x 107

924:2x 2x 3x 7x 11

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 3x 7x 11 = 22176

Therefore, the value for common factors is 22176.

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 = 69493377558528/(1x22176)

LCM = 69493377558528/22176

LCM = 3133720128

Thus, we can understand that the LCM of 704,849,588,214,924 is 3133720128.

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

• LCM of 170, 401, 661, 562, 284
• LCM of 586, 357, 384, 528, 504
• LCM of 186, 403, 458, 898, 865
• LCM of 804, 846, 870, 896, 473
• LCM of 658, 783, 778, 184, 267

1. What is the LCM of 704, 849, 588, 214, 924?

Answer: LCM of 704, 849, 588, 214, 924 is 3133720128.

2. How to calculate the LCM of 704, 849, 588, 214, 924?

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 704, 849, 588, 214, 924.

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}.