Given numbers are 382,104,546

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

The LCM of 382,104,546 is 417144.

Find LCM of 382,104,546 with Prime Factorization

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

2 x 13 x 191 x 4 x 21 = 417144

Therefore, the lowest common multiple of 382,104,546 is 417144.

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 104 x 546 = 21691488

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,104,546, is 2.

Now, the common factors can be found like this.

382:2x 191

104:2x 2x 2x 13

546:2x 3x 7x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 21691488/(2x26)

LCM = 21691488/52

LCM = 417144

Thus, we can understand that the LCM of 382,104,546 is 417144.

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

• LCM of 571, 243, 525
• LCM of 811, 527, 829
• LCM of 195, 476, 338
• LCM of 762, 722, 214
• LCM of 153, 724, 909

1. What is the LCM of 382, 104, 546?

Answer: LCM of 382, 104, 546 is 417144.

2. How to calculate the LCM of 382, 104, 546?

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, 104, 546.

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}.