Given numbers are 110,308,812,480

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

The LCM of 110,308,812,480 is 1071840.

Find LCM of 110,308,812,480 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 1 x 1 x 29 x 24 = 1071840

Therefore, the lowest common multiple of 110,308,812,480 is 1071840.

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.

110 x 308 x 812 x 480 = 13205068800

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,308,812,480, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

308:2x 2x 7x 11

812:2x 2x 7x 29

480:2x 2x 2x 2x 2x 3x 5

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 5x 7x 11 = 6160

Therefore, the value for common factors is 6160.

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 = 13205068800/(2x6160)

LCM = 13205068800/12320

LCM = 1071840

Thus, we can understand that the LCM of 110,308,812,480 is 1071840.

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

• LCM of 831, 249, 527, 788
• LCM of 308, 373, 984, 761
• LCM of 788, 760, 924, 904
• LCM of 922, 572, 985, 830
• LCM of 316, 506, 450, 217

1. What is the LCM of 110, 308, 812, 480?

Answer: LCM of 110, 308, 812, 480 is 1071840.

2. How to calculate the LCM of 110, 308, 812, 480?

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 110, 308, 812, 480.

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}.