Given numbers are 418,458,596,920

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

The LCM of 418,458,596,920 is 6560785880.

Find LCM of 418,458,596,920 with Prime Factorization

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

2 x 2 x 209 x 229 x 149 x 230 = 6560785880

Therefore, the lowest common multiple of 418,458,596,920 is 6560785880.

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.

418 x 458 x 596 x 920 = 104972574080

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

458 : 1, 2, 229, 458

596 : 1, 2, 4, 149, 298, 596

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,458,596,920, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

458:2x 229

596:2x 2x 149

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 104972574080/(2x8)

LCM = 104972574080/16

LCM = 6560785880

Thus, we can understand that the LCM of 418,458,596,920 is 6560785880.

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

• LCM of 512, 939, 506, 731
• LCM of 798, 172, 363, 197
• LCM of 798, 492, 664, 631
• LCM of 289, 889, 156, 487
• LCM of 573, 733, 757, 297

1. What is the LCM of 418, 458, 596, 920?

Answer: LCM of 418, 458, 596, 920 is 6560785880.

2. How to calculate the LCM of 418, 458, 596, 920?

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 418, 458, 596, 920.

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}.