Given numbers are 230,226,406,502,363

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

The LCM of 230,226,406,502,363 is 480709454610.

Find LCM of 230,226,406,502,363 with Prime Factorization

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

2 x 115 x 113 x 203 x 251 x 363 = 480709454610

Therefore, the lowest common multiple of 230,226,406,502,363 is 480709454610.

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.

230 x 226 x 406 x 502 x 363 = 3845675636880

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.

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

226 : 1, 2, 113, 226

406 : 1, 2, 7, 14, 29, 58, 203, 406

502 : 1, 2, 251, 502

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,226,406,502,363, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

226:2x 113

406:2x 7x 29

502:2x 251

363:3x 11x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3845675636880/(1x8)

LCM = 3845675636880/8

LCM = 480709454610

Thus, we can understand that the LCM of 230,226,406,502,363 is 480709454610.

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

• LCM of 974, 851, 685, 103, 836
• LCM of 799, 841, 365, 314, 812
• LCM of 912, 545, 357, 962, 930
• LCM of 895, 187, 735, 268, 545
• LCM of 807, 724, 439, 907, 636

1. What is the LCM of 230, 226, 406, 502, 363?

Answer: LCM of 230, 226, 406, 502, 363 is 480709454610.

2. How to calculate the LCM of 230, 226, 406, 502, 363?

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 230, 226, 406, 502, 363.

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}.