Given numbers are 729,106,974,424

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

The LCM of 729,106,974,424 is 150529752.

Find LCM of 729,106,974,424 with Prime Factorization

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

2 x 53 x 729 x 1 x 487 x 4 = 150529752

Therefore, the lowest common multiple of 729,106,974,424 is 150529752.

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.

729 x 106 x 974 x 424 = 31912307424

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.

729 : 1, 3, 9, 27, 81, 243, 729

106 : 1, 2, 53, 106

974 : 1, 2, 487, 974

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,106,974,424, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

106:2x 53

974:2x 487

424:2x 2x 2x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 31912307424/(1x212)

LCM = 31912307424/212

LCM = 150529752

Thus, we can understand that the LCM of 729,106,974,424 is 150529752.

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

• LCM of 791, 614, 781, 412
• LCM of 673, 197, 210, 124
• LCM of 956, 433, 578, 832
• LCM of 311, 161, 829, 659
• LCM of 722, 819, 371, 927

1. What is the LCM of 729, 106, 974, 424?

Answer: LCM of 729, 106, 974, 424 is 150529752.

2. How to calculate the LCM of 729, 106, 974, 424?

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 729, 106, 974, 424.

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}.