Given numbers are 508,407,772,965,729

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

The LCM of 508,407,772,965,729 is 145449744660.

Find LCM of 508,407,772,965,729 with Prime Factorization

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

2 x 2 x 193 x 127 x 407 x 1 x 5 x 729 = 145449744660

Therefore, the lowest common multiple of 508,407,772,965,729 is 145449744660.

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.

508 x 407 x 772 x 965 x 729 = 112287202877520

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.

508 : 1, 2, 4, 127, 254, 508

407 : 1, 11, 37, 407

772 : 1, 2, 4, 193, 386, 772

965 : 1, 5, 193, 965

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,407,772,965,729, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

407:11x 37

772:2x 2x 193

965:5x 193

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

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 193 = 772

Therefore, the value for common factors is 772.

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 = 112287202877520/(1x772)

LCM = 112287202877520/772

LCM = 145449744660

Thus, we can understand that the LCM of 508,407,772,965,729 is 145449744660.

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

• LCM of 622, 564, 715, 251, 835
• LCM of 352, 251, 856, 697, 558
• LCM of 655, 679, 218, 815, 996
• LCM of 525, 158, 156, 254, 159
• LCM of 783, 505, 923, 834, 181

1. What is the LCM of 508, 407, 772, 965, 729?

Answer: LCM of 508, 407, 772, 965, 729 is 145449744660.

2. How to calculate the LCM of 508, 407, 772, 965, 729?

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 508, 407, 772, 965, 729.

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}.