Given numbers are 726,212,314,462,990

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

The LCM of 726,212,314,462,990 is 1268619660.

Find LCM of 726,212,314,462,990 with Prime Factorization

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

2 x 3 x 11 x 11 x 106 x 157 x 7 x 15 = 1268619660

Therefore, the lowest common multiple of 726,212,314,462,990 is 1268619660.

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 212 x 314 x 462 x 990 = 22104428955840

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

212 : 1, 2, 4, 53, 106, 212

314 : 1, 2, 157, 314

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,212,314,462,990, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

212:2x 2x 53

314:2x 157

462:2x 3x 7x 11

990:2x 3x 3x 5x 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 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 22104428955840/(2x8712)

LCM = 22104428955840/17424

LCM = 1268619660

Thus, we can understand that the LCM of 726,212,314,462,990 is 1268619660.

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

• LCM of 897, 483, 604, 935, 464
• LCM of 515, 719, 440, 493, 924
• LCM of 478, 957, 119, 686, 449
• LCM of 314, 668, 663, 435, 498
• LCM of 634, 995, 950, 423, 934

1. What is the LCM of 726, 212, 314, 462, 990?

Answer: LCM of 726, 212, 314, 462, 990 is 1268619660.

2. How to calculate the LCM of 726, 212, 314, 462, 990?

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, 212, 314, 462, 990.

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}.