Given numbers are 729,723,279,919

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

The LCM of 729,723,279,919 is 5005203921.

Find LCM of 729,723,279,919 with Prime Factorization

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

3 x 3 x 81 x 241 x 31 x 919 = 5005203921

Therefore, the lowest common multiple of 729,723,279,919 is 5005203921.

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 279 x 919 = 135140505867

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

279 : 1, 3, 9, 31, 93, 279

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,723,279,919, is 1.

Now, the common factors can be found like this.

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

723:3x 241

279:3x 3x 31

919:919

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 3 = 27

Therefore, the value for common factors is 27.

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 = 135140505867/(1x27)

LCM = 135140505867/27

LCM = 5005203921

Thus, we can understand that the LCM of 729,723,279,919 is 5005203921.

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

• LCM of 643, 170, 964, 941
• LCM of 770, 637, 870, 957
• LCM of 312, 984, 341, 286
• LCM of 120, 439, 303, 256
• LCM of 822, 732, 232, 405

1. What is the LCM of 729, 723, 279, 919?

Answer: LCM of 729, 723, 279, 919 is 5005203921.

2. How to calculate the LCM of 729, 723, 279, 919?

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, 279, 919.

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}.