Given numbers are 288,571,130,368,726

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

The LCM of 288,571,130,368,726 is 29747820960.

Find LCM of 288,571,130,368,726 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 6 x 571 x 65 x 23 x 121 = 29747820960

Therefore, the lowest common multiple of 288,571,130,368,726 is 29747820960.

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.

288 x 571 x 130 x 368 x 726 = 5711581624320

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

571 : 1, 571

130 : 1, 2, 5, 10, 13, 26, 65, 130

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,571,130,368,726, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

571:571

130:2x 5x 13

368:2x 2x 2x 2x 23

726:2x 3x 11x 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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 5711581624320/(1x192)

LCM = 5711581624320/192

LCM = 29747820960

Thus, we can understand that the LCM of 288,571,130,368,726 is 29747820960.

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

• LCM of 254, 216, 101, 451, 596
• LCM of 546, 911, 646, 254, 255
• LCM of 392, 535, 409, 237, 818
• LCM of 514, 242, 991, 649, 702
• LCM of 310, 973, 925, 483, 835

1. What is the LCM of 288, 571, 130, 368, 726?

Answer: LCM of 288, 571, 130, 368, 726 is 29747820960.

2. How to calculate the LCM of 288, 571, 130, 368, 726?

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 288, 571, 130, 368, 726.

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}.