Given numbers are 729,723,723,853

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

The LCM of 729,723,723,853 is 149862717.

Find LCM of 729,723,723,853 with Prime Factorization

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

3 x 241 x 243 x 1 x 1 x 853 = 149862717

Therefore, the lowest common multiple of 729,723,723,853 is 149862717.

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 723 x 723 x 853 = 325052233173

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

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,723,723,853, is 1.

Now, the common factors can be found like this.

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

723:3x 241

723:3x 241

853:853

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

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 325052233173/(1x2169)

LCM = 325052233173/2169

LCM = 149862717

Thus, we can understand that the LCM of 729,723,723,853 is 149862717.

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

• LCM of 558, 839, 843, 185
• LCM of 428, 529, 979, 208
• LCM of 276, 591, 417, 266
• LCM of 231, 408, 711, 182
• LCM of 740, 794, 374, 523

1. What is the LCM of 729, 723, 723, 853?

Answer: LCM of 729, 723, 723, 853 is 149862717.

2. How to calculate the LCM of 729, 723, 723, 853?

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, 723, 723, 853.

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}.