Given numbers are 579,648,276,148,678

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

The LCM of 579,648,276,148,678 is 12026529432.

Find LCM of 579,648,276,148,678 with Prime Factorization

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

2 x 2 x 3 x 193 x 54 x 23 x 37 x 113 = 12026529432

Therefore, the lowest common multiple of 579,648,276,148,678 is 12026529432.

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.

579 x 648 x 276 x 148 x 678 = 10390921429248

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.

579 : 1, 3, 193, 579

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

148 : 1, 2, 4, 37, 74, 148

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,648,276,148,678, is 1.

Now, the common factors can be found like this.

579:3x 193

648:2x 2x 2x 3x 3x 3x 3

276:2x 2x 3x 23

148:2x 2x 37

678:2x 3x 113

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 10390921429248/(1x864)

LCM = 10390921429248/864

LCM = 12026529432

Thus, we can understand that the LCM of 579,648,276,148,678 is 12026529432.

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

• LCM of 683, 997, 568, 815, 324
• LCM of 296, 315, 864, 979, 300
• LCM of 900, 266, 360, 414, 301
• LCM of 768, 603, 438, 254, 330
• LCM of 387, 633, 192, 828, 930

1. What is the LCM of 579, 648, 276, 148, 678?

Answer: LCM of 579, 648, 276, 148, 678 is 12026529432.

2. How to calculate the LCM of 579, 648, 276, 148, 678?

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 579, 648, 276, 148, 678.

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}.