Given numbers are 459,520,136,624,974

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

The LCM of 459,520,136,624,974 is 232474320.

Find LCM of 459,520,136,624,974 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 17 x 9 x 5 x 1 x 2 x 487 = 232474320

Therefore, the lowest common multiple of 459,520,136,624,974 is 232474320.

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 520 x 136 x 624 x 974 = 19728700692480

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

136 : 1, 2, 4, 8, 17, 34, 68, 136

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 459,520,136,624,974, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

520:2x 2x 2x 5x 13

136:2x 2x 2x 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 2x 2x 2x 2x 3x 13x 17 = 84864

Therefore, the value for common factors is 84864.

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 = 19728700692480/(1x84864)

LCM = 19728700692480/84864

LCM = 232474320

Thus, we can understand that the LCM of 459,520,136,624,974 is 232474320.

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

• LCM of 727, 263, 238, 957, 419
• LCM of 914, 729, 962, 268, 383
• LCM of 705, 869, 225, 328, 838
• LCM of 406, 333, 812, 874, 254
• LCM of 119, 113, 910, 241, 551

1. What is the LCM of 459, 520, 136, 624, 974?

Answer: LCM of 459, 520, 136, 624, 974 is 232474320.

2. How to calculate the LCM of 459, 520, 136, 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, 520, 136, 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}.