Given numbers are 726,924,121,406

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

The LCM of 726,924,121,406 is 294756.

Find LCM of 726,924,121,406 with Prime Factorization

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

2 x 3 x 7 x 11 x 11 x 1 x 2 x 1 x 29 = 294756

Therefore, the lowest common multiple of 726,924,121,406 is 294756.

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 924 x 121 x 406 = 32954899824

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

121 : 1, 11, 121

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,924,121,406, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

924:2x 2x 3x 7x 11

121:11x 11

406:2x 7x 29

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 7x 11x 11x 11 = 111804

Therefore, the value for common factors is 111804.

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 = 32954899824/(1x111804)

LCM = 32954899824/111804

LCM = 294756

Thus, we can understand that the LCM of 726,924,121,406 is 294756.

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

• LCM of 336, 216, 345, 590
• LCM of 431, 710, 224, 675
• LCM of 709, 509, 499, 523
• LCM of 945, 453, 572, 235
• LCM of 412, 383, 543, 982

1. What is the LCM of 726, 924, 121, 406?

Answer: LCM of 726, 924, 121, 406 is 294756.

2. How to calculate the LCM of 726, 924, 121, 406?

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, 924, 121, 406.

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}.