Given numbers are 116,308,320,330,110

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

The LCM of 116,308,320,330,110 is 2143680.

Find LCM of 116,308,320,330,110 with Prime Factorization

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

2 x 2 x 5 x 11 x 29 x 7 x 16 x 3 x 1 = 2143680

Therefore, the lowest common multiple of 116,308,320,330,110 is 2143680.

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.

116 x 308 x 320 x 330 x 110 = 415016448000

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.

116 : 1, 2, 4, 29, 58, 116

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,308,320,330,110, is 2.

Now, the common factors can be found like this.

116:2x 2x 29

308:2x 2x 7x 11

320:2x 2x 2x 2x 2x 2x 5

330:2x 3x 5x 11

110:2x 5x 11

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 5x 5x 11x 11 = 96800

Therefore, the value for common factors is 96800.

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 = 415016448000/(2x96800)

LCM = 415016448000/193600

LCM = 2143680

Thus, we can understand that the LCM of 116,308,320,330,110 is 2143680.

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

• LCM of 519, 685, 503, 697, 500
• LCM of 853, 629, 574, 670, 145
• LCM of 808, 508, 500, 724, 178
• LCM of 601, 840, 765, 698, 780
• LCM of 213, 391, 200, 274, 222

1. What is the LCM of 116, 308, 320, 330, 110?

Answer: LCM of 116, 308, 320, 330, 110 is 2143680.

2. How to calculate the LCM of 116, 308, 320, 330, 110?

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 116, 308, 320, 330, 110.

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}.