Given numbers are 120,445,823,381

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

The LCM of 120,445,823,381 is 1116284280.

Find LCM of 120,445,823,381 with Prime Factorization

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

3 x 5 x 8 x 89 x 823 x 127 = 1116284280

Therefore, the lowest common multiple of 120,445,823,381 is 1116284280.

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.

120 x 445 x 823 x 381 = 16744264200

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

445 : 1, 5, 89, 445

823 : 1, 823

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,445,823,381, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

445:5x 89

823:823

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 5 = 15

Therefore, the value for common factors is 15.

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 = 16744264200/(1x15)

LCM = 16744264200/15

LCM = 1116284280

Thus, we can understand that the LCM of 120,445,823,381 is 1116284280.

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

• LCM of 333, 881, 725, 333
• LCM of 704, 164, 978, 893
• LCM of 304, 460, 297, 156
• LCM of 809, 442, 149, 926
• LCM of 166, 375, 510, 191

1. What is the LCM of 120, 445, 823, 381?

Answer: LCM of 120, 445, 823, 381 is 1116284280.

2. How to calculate the LCM of 120, 445, 823, 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 120, 445, 823, 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}.