Given numbers are 618,408,616,468,418

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

The LCM of 618,408,616,468,418 is 2397763368.

Find LCM of 618,408,616,468,418 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 103 x 17 x 7 x 39 x 19 = 2397763368

Therefore, the lowest common multiple of 618,408,616,468,418 is 2397763368.

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.

618 x 408 x 616 x 468 x 418 = 30384457399296

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.

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

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,408,616,468,418, is 2.

Now, the common factors can be found like this.

618:2x 3x 103

408:2x 2x 2x 3x 17

616:2x 2x 2x 7x 11

468:2x 2x 3x 3x 13

418:2x 11x 19

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 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 30384457399296/(2x6336)

LCM = 30384457399296/12672

LCM = 2397763368

Thus, we can understand that the LCM of 618,408,616,468,418 is 2397763368.

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

• LCM of 677, 540, 969, 594, 645
• LCM of 225, 931, 542, 459, 635
• LCM of 361, 876, 839, 663, 461
• LCM of 309, 716, 786, 768, 829
• LCM of 651, 907, 350, 771, 821

1. What is the LCM of 618, 408, 616, 468, 418?

Answer: LCM of 618, 408, 616, 468, 418 is 2397763368.

2. How to calculate the LCM of 618, 408, 616, 468, 418?

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 618, 408, 616, 468, 418.

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}.