Given numbers are 462,447,387,723

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

The LCM of 462,447,387,723 is 2140104582.

Find LCM of 462,447,387,723 with Prime Factorization

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

3 x 154 x 149 x 129 x 241 = 2140104582

Therefore, the lowest common multiple of 462,447,387,723 is 2140104582.

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.

462 x 447 x 387 x 723 = 57782823714

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

447 : 1, 3, 149, 447

387 : 1, 3, 9, 43, 129, 387

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,447,387,723, is 3.

Now, the common factors can be found like this.

462:2x 3x 7x 11

447:3x 149

387:3x 3x 43

723:3x 241

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 57782823714/(3x9)

LCM = 57782823714/27

LCM = 2140104582

Thus, we can understand that the LCM of 462,447,387,723 is 2140104582.

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

• LCM of 399, 736, 403, 417
• LCM of 549, 588, 978, 637
• LCM of 986, 359, 658, 224
• LCM of 933, 213, 290, 277
• LCM of 965, 884, 287, 558

1. What is the LCM of 462, 447, 387, 723?

Answer: LCM of 462, 447, 387, 723 is 2140104582.

2. How to calculate the LCM of 462, 447, 387, 723?

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 462, 447, 387, 723.

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}.