Given numbers are 270,588,348,960

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

The LCM of 270,588,348,960 is 12277440.

Find LCM of 270,588,348,960 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 49 x 29 x 16 = 12277440

Therefore, the lowest common multiple of 270,588,348,960 is 12277440.

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.

270 x 588 x 348 x 960 = 53038540800

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,588,348,960, is 6.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

588:2x 2x 3x 7x 7

348:2x 2x 3x 29

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 53038540800/(6x720)

LCM = 53038540800/4320

LCM = 12277440

Thus, we can understand that the LCM of 270,588,348,960 is 12277440.

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

• LCM of 538, 384, 212, 968
• LCM of 976, 906, 568, 636
• LCM of 992, 391, 538, 728
• LCM of 280, 783, 798, 653
• LCM of 389, 418, 428, 649

1. What is the LCM of 270, 588, 348, 960?

Answer: LCM of 270, 588, 348, 960 is 12277440.

2. How to calculate the LCM of 270, 588, 348, 960?

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 270, 588, 348, 960.

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}.