Given numbers are 381,138,678,824

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

The LCM of 381,138,678,824 is 815940456.

Find LCM of 381,138,678,824 with Prime Factorization

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

2 x 3 x 127 x 23 x 113 x 412 = 815940456

Therefore, the lowest common multiple of 381,138,678,824 is 815940456.

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.

381 x 138 x 678 x 824 = 29373856416

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.

381 : 1, 3, 127, 381

138 : 1, 2, 3, 6, 23, 46, 69, 138

678 : 1, 2, 3, 6, 113, 226, 339, 678

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,138,678,824, is 1.

Now, the common factors can be found like this.

381:3x 127

138:2x 3x 23

678:2x 3x 113

824:2x 2x 2x 103

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 29373856416/(1x36)

LCM = 29373856416/36

LCM = 815940456

Thus, we can understand that the LCM of 381,138,678,824 is 815940456.

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

• LCM of 243, 335, 259, 316
• LCM of 305, 338, 303, 160
• LCM of 714, 348, 672, 984
• LCM of 266, 926, 195, 154
• LCM of 450, 134, 920, 754

1. What is the LCM of 381, 138, 678, 824?

Answer: LCM of 381, 138, 678, 824 is 815940456.

2. How to calculate the LCM of 381, 138, 678, 824?

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 381, 138, 678, 824.

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}.