Given numbers are 723,635,848,381

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

The LCM of 723,635,848,381 is 389321040.

Find LCM of 723,635,848,381 with Prime Factorization

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

3 x 127 x 241 x 5 x 848 x 1 = 389321040

Therefore, the lowest common multiple of 723,635,848,381 is 389321040.

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.

723 x 635 x 848 x 381 = 148331316240

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.

723 : 1, 3, 241, 723

635 : 1, 5, 127, 635

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,635,848,381, is 1.

Now, the common factors can be found like this.

723:3x 241

635:5x 127

848:2x 2x 2x 2x 53

381:3x 127

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

3x 127 = 381

Therefore, the value for common factors is 381.

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 = 148331316240/(1x381)

LCM = 148331316240/381

LCM = 389321040

Thus, we can understand that the LCM of 723,635,848,381 is 389321040.

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

• LCM of 115, 843, 729, 314
• LCM of 423, 105, 451, 322
• LCM of 897, 654, 225, 929
• LCM of 474, 604, 500, 410
• LCM of 601, 614, 913, 571

1. What is the LCM of 723, 635, 848, 381?

Answer: LCM of 723, 635, 848, 381 is 389321040.

2. How to calculate the LCM of 723, 635, 848, 381?

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 723, 635, 848, 381.

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}.