Given numbers are 136,528,460,828

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

The LCM of 136,528,460,828 is 3096720.

Find LCM of 136,528,460,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 17 x 22 x 5 x 3 = 3096720

Therefore, the lowest common multiple of 136,528,460,828 is 3096720.

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.

136 x 528 x 460 x 828 = 27350231040

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,528,460,828, is 4.

Now, the common factors can be found like this.

136:2x 2x 2x 17

528:2x 2x 2x 2x 3x 11

460:2x 2x 5x 23

828:2x 2x 3x 3x 23

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 23 = 2208

Therefore, the value for common factors is 2208.

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 = 27350231040/(4x2208)

LCM = 27350231040/8832

LCM = 3096720

Thus, we can understand that the LCM of 136,528,460,828 is 3096720.

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

• LCM of 200, 482, 477, 557
• LCM of 645, 404, 135, 178
• LCM of 717, 180, 103, 222
• LCM of 911, 925, 477, 525
• LCM of 682, 405, 525, 708

1. What is the LCM of 136, 528, 460, 828?

Answer: LCM of 136, 528, 460, 828 is 3096720.

2. How to calculate the LCM of 136, 528, 460, 828?

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 136, 528, 460, 828.

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}.