Given numbers are 678,324,624,239

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

The LCM of 678,324,624,239 is 455013936.

Find LCM of 678,324,624,239 with Prime Factorization

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

2 x 2 x 3 x 113 x 27 x 52 x 239 = 455013936

Therefore, the lowest common multiple of 678,324,624,239 is 455013936.

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.

678 x 324 x 624 x 239 = 32761003392

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.

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,324,624,239, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

324:2x 2x 3x 3x 3x 3

624:2x 2x 2x 2x 3x 13

239:239

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 32761003392/(1x72)

LCM = 32761003392/72

LCM = 455013936

Thus, we can understand that the LCM of 678,324,624,239 is 455013936.

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

• LCM of 384, 164, 596, 618
• LCM of 153, 812, 416, 227
• LCM of 845, 931, 912, 681
• LCM of 857, 338, 762, 446
• LCM of 275, 808, 669, 605

1. What is the LCM of 678, 324, 624, 239?

Answer: LCM of 678, 324, 624, 239 is 455013936.

2. How to calculate the LCM of 678, 324, 624, 239?

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 678, 324, 624, 239.

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}.