Given numbers are 459,612,624,974

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

The LCM of 459,612,624,974 is 46494864.

Find LCM of 459,612,624,974 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 1 x 3 x 52 x 487 = 46494864

Therefore, the lowest common multiple of 459,612,624,974 is 46494864.

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.

459 x 612 x 624 x 974 = 170729140608

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,612,624,974, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

612:2x 2x 3x 3x 17

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

974:2x 487

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 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 170729140608/(1x3672)

LCM = 170729140608/3672

LCM = 46494864

Thus, we can understand that the LCM of 459,612,624,974 is 46494864.

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

• LCM of 595, 321, 490, 867
• LCM of 870, 240, 758, 330
• LCM of 165, 304, 568, 515
• LCM of 555, 197, 397, 621
• LCM of 238, 463, 506, 669

1. What is the LCM of 459, 612, 624, 974?

Answer: LCM of 459, 612, 624, 974 is 46494864.

2. How to calculate the LCM of 459, 612, 624, 974?

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 459, 612, 624, 974.

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}.