Given numbers are 382,802,460,493

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

The LCM of 382,802,460,493 is 17369306980.

Find LCM of 382,802,460,493 with Prime Factorization

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

2 x 191 x 401 x 230 x 493 = 17369306980

Therefore, the lowest common multiple of 382,802,460,493 is 17369306980.

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.

382 x 802 x 460 x 493 = 69477227920

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.

382 : 1, 2, 191, 382

802 : 1, 2, 401, 802

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,802,460,493, is 1.

Now, the common factors can be found like this.

382:2x 191

802:2x 401

460:2x 2x 5x 23

493:17x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69477227920/(1x4)

LCM = 69477227920/4

LCM = 17369306980

Thus, we can understand that the LCM of 382,802,460,493 is 17369306980.

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

• LCM of 867, 806, 677, 671
• LCM of 677, 509, 682, 667
• LCM of 769, 483, 905, 803
• LCM of 123, 463, 543, 880
• LCM of 846, 108, 672, 906

1. What is the LCM of 382, 802, 460, 493?

Answer: LCM of 382, 802, 460, 493 is 17369306980.

2. How to calculate the LCM of 382, 802, 460, 493?

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 382, 802, 460, 493.

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}.