Given numbers are 204,679,611,432,726

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

The LCM of 204,679,611,432,726 is 368662550256.

Find LCM of 204,679,611,432,726 with Prime Factorization

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

2 x 2 x 3 x 17 x 679 x 611 x 36 x 121 = 368662550256

Therefore, the lowest common multiple of 204,679,611,432,726 is 368662550256.

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.

204 x 679 x 611 x 432 x 726 = 26543703618432

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

679 : 1, 7, 97, 679

611 : 1, 13, 47, 611

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,679,611,432,726, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

679:7x 97

611:13x 47

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

726:2x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 26543703618432/(1x72)

LCM = 26543703618432/72

LCM = 368662550256

Thus, we can understand that the LCM of 204,679,611,432,726 is 368662550256.

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

• LCM of 821, 739, 728, 143, 313
• LCM of 311, 595, 926, 411, 194
• LCM of 310, 764, 950, 486, 284
• LCM of 801, 226, 863, 477, 269
• LCM of 299, 159, 315, 915, 292

1. What is the LCM of 204, 679, 611, 432, 726?

Answer: LCM of 204, 679, 611, 432, 726 is 368662550256.

2. How to calculate the LCM of 204, 679, 611, 432, 726?

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 204, 679, 611, 432, 726.

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}.