Given numbers are 726,566,540,974

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

The LCM of 726,566,540,974 is 9005224140.

Find LCM of 726,566,540,974 with Prime Factorization

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

2 x 3 x 121 x 283 x 90 x 487 = 9005224140

Therefore, the lowest common multiple of 726,566,540,974 is 9005224140.

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 566 x 540 x 974 = 216125379360

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

566 : 1, 2, 283, 566

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,566,540,974, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

566:2x 283

540:2x 2x 3x 3x 3x 5

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 216125379360/(2x12)

LCM = 216125379360/24

LCM = 9005224140

Thus, we can understand that the LCM of 726,566,540,974 is 9005224140.

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

• LCM of 506, 722, 587, 393
• LCM of 148, 166, 401, 414
• LCM of 976, 614, 202, 649
• LCM of 366, 221, 852, 251
• LCM of 914, 535, 396, 971

1. What is the LCM of 726, 566, 540, 974?

Answer: LCM of 726, 566, 540, 974 is 9005224140.

2. How to calculate the LCM of 726, 566, 540, 974?

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, 566, 540, 974.

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}.