Given numbers are 470,578,406,118

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

The LCM of 470,578,406,118 is 1626835910.

Find LCM of 470,578,406,118 with Prime Factorization

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

2 x 235 x 289 x 203 x 59 = 1626835910

Therefore, the lowest common multiple of 470,578,406,118 is 1626835910.

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.

470 x 578 x 406 x 118 = 13014687280

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

578 : 1, 2, 17, 34, 289, 578

406 : 1, 2, 7, 14, 29, 58, 203, 406

118 : 1, 2, 59, 118

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,578,406,118, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

578:2x 17x 17

406:2x 7x 29

118:2x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13014687280/(2x4)

LCM = 13014687280/8

LCM = 1626835910

Thus, we can understand that the LCM of 470,578,406,118 is 1626835910.

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

• LCM of 524, 140, 765, 543
• LCM of 192, 924, 381, 254
• LCM of 581, 133, 656, 425
• LCM of 574, 251, 328, 437
• LCM of 522, 270, 902, 508

1. What is the LCM of 470, 578, 406, 118?

Answer: LCM of 470, 578, 406, 118 is 1626835910.

2. How to calculate the LCM of 470, 578, 406, 118?

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 470, 578, 406, 118.

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}.