Given numbers are 404,279,418,209,230

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

The LCM of 404,279,418,209,230 is 2709129060.

Find LCM of 404,279,418,209,230 with Prime Factorization

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

2 x 11 x 19 x 202 x 279 x 1 x 1 x 115 = 2709129060

Therefore, the lowest common multiple of 404,279,418,209,230 is 2709129060.

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.

404 x 279 x 418 x 209 x 230 = 2264831894160

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.

404 : 1, 2, 4, 101, 202, 404

279 : 1, 3, 9, 31, 93, 279

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

209 : 1, 11, 19, 209

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,279,418,209,230, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

279:3x 3x 31

418:2x 11x 19

209:11x 19

230:2x 5x 23

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 = 2264831894160/(1x836)

LCM = 2264831894160/836

LCM = 2709129060

Thus, we can understand that the LCM of 404,279,418,209,230 is 2709129060.

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

• LCM of 918, 216, 107, 171, 101
• LCM of 957, 393, 224, 721, 926
• LCM of 102, 137, 633, 526, 428
• LCM of 557, 201, 824, 100, 669
• LCM of 984, 379, 107, 694, 106

1. What is the LCM of 404, 279, 418, 209, 230?

Answer: LCM of 404, 279, 418, 209, 230 is 2709129060.

2. How to calculate the LCM of 404, 279, 418, 209, 230?

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 404, 279, 418, 209, 230.

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}.