Given numbers are 496,114,418,286

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

The LCM of 496,114,418,286 is 4042896.

Find LCM of 496,114,418,286 with Prime Factorization

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

2 x 11 x 19 x 248 x 3 x 1 x 13 = 4042896

Therefore, the lowest common multiple of 496,114,418,286 is 4042896.

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.

496 x 114 x 418 x 286 = 6759722112

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,114,418,286, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

114:2x 3x 19

418:2x 11x 19

286:2x 11x 13

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 11x 19 = 836

Therefore, the value for common factors is 836.

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 = 6759722112/(2x836)

LCM = 6759722112/1672

LCM = 4042896

Thus, we can understand that the LCM of 496,114,418,286 is 4042896.

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

• LCM of 572, 240, 614, 223
• LCM of 837, 663, 243, 935
• LCM of 411, 952, 225, 384
• LCM of 155, 995, 952, 515
• LCM of 697, 640, 502, 919

1. What is the LCM of 496, 114, 418, 286?

Answer: LCM of 496, 114, 418, 286 is 4042896.

2. How to calculate the LCM of 496, 114, 418, 286?

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 496, 114, 418, 286.

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}.