Given numbers are 346,692,923,729

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

The LCM of 346,692,923,729 is 465623964.

Find LCM of 346,692,923,729 with Prime Factorization

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

2 x 173 x 1 x 2 x 923 x 729 = 465623964

Therefore, the lowest common multiple of 346,692,923,729 is 465623964.

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.

346 x 692 x 923 x 729 = 161105891544

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.

346 : 1, 2, 173, 346

692 : 1, 2, 4, 173, 346, 692

923 : 1, 13, 71, 923

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 346,692,923,729, is 1.

Now, the common factors can be found like this.

346:2x 173

692:2x 2x 173

923:13x 71

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 173 = 346

Therefore, the value for common factors is 346.

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 = 161105891544/(1x346)

LCM = 161105891544/346

LCM = 465623964

Thus, we can understand that the LCM of 346,692,923,729 is 465623964.

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

• LCM of 237, 480, 858, 442
• LCM of 831, 907, 806, 630
• LCM of 539, 276, 251, 993
• LCM of 552, 862, 853, 401
• LCM of 292, 306, 986, 736

1. What is the LCM of 346, 692, 923, 729?

Answer: LCM of 346, 692, 923, 729 is 465623964.

2. How to calculate the LCM of 346, 692, 923, 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 346, 692, 923, 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}.