Given numbers are 112,808,107,128,505

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

The LCM of 112,808,107,128,505 is 48415360.

Find LCM of 112,808,107,128,505 with Prime Factorization

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

2 x 2 x 2 x 2 x 101 x 7 x 1 x 107 x 8 x 5 = 48415360

Therefore, the lowest common multiple of 112,808,107,128,505 is 48415360.

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.

112 x 808 x 107 x 128 x 505 = 625913774080

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

808 : 1, 2, 4, 8, 101, 202, 404, 808

107 : 1, 107

128 : 1, 2, 4, 8, 16, 32, 64, 128

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,808,107,128,505, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

808:2x 2x 2x 101

107:107

128:2x 2x 2x 2x 2x 2x 2

505:5x 101

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 2x 2x 2x 2x 2x 101 = 12928

Therefore, the value for common factors is 12928.

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 = 625913774080/(1x12928)

LCM = 625913774080/12928

LCM = 48415360

Thus, we can understand that the LCM of 112,808,107,128,505 is 48415360.

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

• LCM of 151, 696, 585, 576, 109
• LCM of 735, 915, 136, 584, 361
• LCM of 354, 783, 200, 320, 212
• LCM of 690, 380, 288, 409, 850
• LCM of 961, 135, 677, 981, 262

1. What is the LCM of 112, 808, 107, 128, 505?

Answer: LCM of 112, 808, 107, 128, 505 is 48415360.

2. How to calculate the LCM of 112, 808, 107, 128, 505?

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 112, 808, 107, 128, 505.

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}.