Given numbers are 726,882,432,349

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

The LCM of 726,882,432,349 is 893903472.

Find LCM of 726,882,432,349 with Prime Factorization

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

2 x 3 x 3 x 121 x 49 x 24 x 349 = 893903472

Therefore, the lowest common multiple of 726,882,432,349 is 893903472.

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.

726 x 882 x 432 x 349 = 96541574976

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.

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,882,432,349, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

882:2x 3x 3x 7x 7

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

349:349

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 96541574976/(1x108)

LCM = 96541574976/108

LCM = 893903472

Thus, we can understand that the LCM of 726,882,432,349 is 893903472.

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

• LCM of 563, 704, 199, 197
• LCM of 242, 444, 448, 348
• LCM of 812, 939, 589, 185
• LCM of 214, 663, 626, 850
• LCM of 556, 215, 346, 665

1. What is the LCM of 726, 882, 432, 349?

Answer: LCM of 726, 882, 432, 349 is 893903472.

2. How to calculate the LCM of 726, 882, 432, 349?

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 726, 882, 432, 349.

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}.