Given numbers are 729,424,219,506

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

The LCM of 729,424,219,506 is 5708694024.

Find LCM of 729,424,219,506 with Prime Factorization

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

2 x 3 x 243 x 212 x 73 x 253 = 5708694024

Therefore, the lowest common multiple of 729,424,219,506 is 5708694024.

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 424 x 219 x 506 = 34252164144

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

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

219 : 1, 3, 73, 219

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,424,219,506, is 1.

Now, the common factors can be found like this.

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

424:2x 2x 2x 53

219:3x 73

506:2x 11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 34252164144/(1x6)

LCM = 34252164144/6

LCM = 5708694024

Thus, we can understand that the LCM of 729,424,219,506 is 5708694024.

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

• LCM of 539, 110, 996, 667
• LCM of 476, 634, 712, 760
• LCM of 881, 916, 669, 963
• LCM of 680, 244, 870, 987
• LCM of 696, 627, 831, 506

1. What is the LCM of 729, 424, 219, 506?

Answer: LCM of 729, 424, 219, 506 is 5708694024.

2. How to calculate the LCM of 729, 424, 219, 506?

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, 424, 219, 506.

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}.