Given numbers are 408,412,660,618

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

The LCM of 408,412,660,618 is 2311320.

Find LCM of 408,412,660,618 with Prime Factorization

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

2 x 2 x 3 x 103 x 34 x 1 x 55 x 1 = 2311320

Therefore, the lowest common multiple of 408,412,660,618 is 2311320.

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.

408 x 412 x 660 x 618 = 68562996480

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

412 : 1, 2, 4, 103, 206, 412

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,412,660,618, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

412:2x 2x 103

660:2x 2x 3x 5x 11

618:2x 3x 103

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 3x 3x 103 = 14832

Therefore, the value for common factors is 14832.

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 = 68562996480/(2x14832)

LCM = 68562996480/29664

LCM = 2311320

Thus, we can understand that the LCM of 408,412,660,618 is 2311320.

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

• LCM of 491, 360, 300, 206
• LCM of 696, 581, 880, 604
• LCM of 236, 158, 393, 364
• LCM of 469, 573, 358, 412
• LCM of 721, 196, 184, 411

1. What is the LCM of 408, 412, 660, 618?

Answer: LCM of 408, 412, 660, 618 is 2311320.

2. How to calculate the LCM of 408, 412, 660, 618?

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 408, 412, 660, 618.

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}.