Given numbers are 586,792,168,741

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

The LCM of 586,792,168,741 is 401224824.

Find LCM of 586,792,168,741 with Prime Factorization

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

2 x 2 x 2 x 3 x 293 x 33 x 7 x 247 = 401224824

Therefore, the lowest common multiple of 586,792,168,741 is 401224824.

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.

586 x 792 x 168 x 741 = 57776374656

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.

586 : 1, 2, 293, 586

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,792,168,741, is 1.

Now, the common factors can be found like this.

586:2x 293

792:2x 2x 2x 3x 3x 11

168:2x 2x 2x 3x 7

741:3x 13x 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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 57776374656/(1x144)

LCM = 57776374656/144

LCM = 401224824

Thus, we can understand that the LCM of 586,792,168,741 is 401224824.

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

• LCM of 677, 894, 204, 874
• LCM of 322, 280, 734, 441
• LCM of 744, 895, 806, 636
• LCM of 389, 742, 799, 937
• LCM of 754, 937, 612, 148

1. What is the LCM of 586, 792, 168, 741?

Answer: LCM of 586, 792, 168, 741 is 401224824.

2. How to calculate the LCM of 586, 792, 168, 741?

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 586, 792, 168, 741.

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}.