Given numbers are 230,432,502,349,209

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

The LCM of 230,432,502,349,209 is 909550928880.

Find LCM of 230,432,502,349,209 with Prime Factorization

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

2 x 115 x 216 x 251 x 349 x 209 = 909550928880

Therefore, the lowest common multiple of 230,432,502,349,209 is 909550928880.

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 432 x 502 x 349 x 209 = 3638203715520

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

502 : 1, 2, 251, 502

349 : 1, 349

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,432,502,349,209, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

432:2x 2x 2x 2x 3x 3x 3

502:2x 251

349:349

209:11x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 3638203715520/(1x4)

LCM = 3638203715520/4

LCM = 909550928880

Thus, we can understand that the LCM of 230,432,502,349,209 is 909550928880.

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

• LCM of 569, 286, 843, 703, 209
• LCM of 934, 810, 467, 410, 595
• LCM of 495, 195, 989, 255, 306
• LCM of 118, 307, 706, 675, 613
• LCM of 667, 238, 866, 919, 597

1. What is the LCM of 230, 432, 502, 349, 209?

Answer: LCM of 230, 432, 502, 349, 209 is 909550928880.

2. How to calculate the LCM of 230, 432, 502, 349, 209?

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, 432, 502, 349, 209.

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}.