Given numbers are 704,214,584,546

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

The LCM of 704,214,584,546 is 1501211712.

Find LCM of 704,214,584,546 with Prime Factorization

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

2 x 2 x 2 x 88 x 107 x 73 x 273 = 1501211712

Therefore, the lowest common multiple of 704,214,584,546 is 1501211712.

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 214 x 584 x 546 = 48038774784

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

214 : 1, 2, 107, 214

584 : 1, 2, 4, 8, 73, 146, 292, 584

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,214,584,546, is 2.

Now, the common factors can be found like this.

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

214:2x 107

584:2x 2x 2x 73

546:2x 3x 7x 13

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 = 48038774784/(2x16)

LCM = 48038774784/32

LCM = 1501211712

Thus, we can understand that the LCM of 704,214,584,546 is 1501211712.

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

• LCM of 117, 465, 843, 595
• LCM of 477, 899, 249, 486
• LCM of 139, 538, 567, 297
• LCM of 899, 558, 307, 966
• LCM of 222, 903, 470, 592

1. What is the LCM of 704, 214, 584, 546?

Answer: LCM of 704, 214, 584, 546 is 1501211712.

2. How to calculate the LCM of 704, 214, 584, 546?

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, 214, 584, 546.

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}.