Given numbers are 624,313,120,138,928

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

The LCM of 624,313,120,138,928 is 1302731040.

Find LCM of 624,313,120,138,928 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 313 x 5 x 23 x 58 = 1302731040

Therefore, the lowest common multiple of 624,313,120,138,928 is 1302731040.

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.

624 x 313 x 120 x 138 x 928 = 3001492316160

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.

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

313 : 1, 313

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

138 : 1, 2, 3, 6, 23, 46, 69, 138

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,313,120,138,928, is 1.

Now, the common factors can be found like this.

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

313:313

120:2x 2x 2x 3x 5

138:2x 3x 23

928:2x 2x 2x 2x 2x 29

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 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 3001492316160/(1x2304)

LCM = 3001492316160/2304

LCM = 1302731040

Thus, we can understand that the LCM of 624,313,120,138,928 is 1302731040.

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

• LCM of 387, 393, 410, 715, 196
• LCM of 939, 701, 709, 577, 492
• LCM of 395, 153, 242, 676, 719
• LCM of 284, 295, 574, 105, 126
• LCM of 796, 999, 250, 250, 124

1. What is the LCM of 624, 313, 120, 138, 928?

Answer: LCM of 624, 313, 120, 138, 928 is 1302731040.

2. How to calculate the LCM of 624, 313, 120, 138, 928?

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 624, 313, 120, 138, 928.

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}.