Given numbers are 378,386,506

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

The LCM of 378,386,506 is 18457362.

Find LCM of 378,386,506 with Prime Factorization

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

2 x 189 x 193 x 253 = 18457362

Therefore, the lowest common multiple of 378,386,506 is 18457362.

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.

378 x 386 x 506 = 73829448

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

386 : 1, 2, 193, 386

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,386,506, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

386:2x 193

506:2x 11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 73829448/(2x2)

LCM = 73829448/4

LCM = 18457362

Thus, we can understand that the LCM of 378,386,506 is 18457362.

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

• LCM of 743, 937, 587
• LCM of 339, 907, 173
• LCM of 958, 116, 267
• LCM of 680, 854, 665
• LCM of 722, 279, 873

1. What is the LCM of 378, 386, 506?

Answer: LCM of 378, 386, 506 is 18457362.

2. How to calculate the LCM of 378, 386, 506?

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 378, 386, 506.

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}.