Given numbers are 498,418,266,234,447

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

The LCM of 498,418,266,234,447 is 4233743514.

Find LCM of 498,418,266,234,447 with Prime Factorization

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

2 x 3 x 19 x 83 x 11 x 7 x 39 x 149 = 4233743514

Therefore, the lowest common multiple of 498,418,266,234,447 is 4233743514.

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.

498 x 418 x 266 x 234 x 447 = 5791761127152

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,418,266,234,447, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

418:2x 11x 19

266:2x 7x 19

234:2x 3x 3x 13

447:3x 149

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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 5791761127152/(1x1368)

LCM = 5791761127152/1368

LCM = 4233743514

Thus, we can understand that the LCM of 498,418,266,234,447 is 4233743514.

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

• LCM of 826, 114, 136, 309, 572
• LCM of 531, 568, 957, 863, 956
• LCM of 475, 991, 674, 500, 658
• LCM of 317, 894, 539, 319, 945
• LCM of 271, 858, 941, 834, 659

1. What is the LCM of 498, 418, 266, 234, 447?

Answer: LCM of 498, 418, 266, 234, 447 is 4233743514.

2. How to calculate the LCM of 498, 418, 266, 234, 447?

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 498, 418, 266, 234, 447.

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}.