Given numbers are 122,560,176,112,230

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

The LCM of 122,560,176,112,230 is 8642480.

Find LCM of 122,560,176,112,230 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 61 x 1 x 11 x 1 x 23 = 8642480

Therefore, the lowest common multiple of 122,560,176,112,230 is 8642480.

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.

122 x 560 x 176 x 112 x 230 = 309746483200

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.

122 : 1, 2, 61, 122

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,560,176,112,230, is 2.

Now, the common factors can be found like this.

122:2x 61

560:2x 2x 2x 2x 5x 7

176:2x 2x 2x 2x 11

112:2x 2x 2x 2x 7

230:2x 5x 23

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 2x 2x 5x 7 = 17920

Therefore, the value for common factors is 17920.

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 = 309746483200/(2x17920)

LCM = 309746483200/35840

LCM = 8642480

Thus, we can understand that the LCM of 122,560,176,112,230 is 8642480.

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

• LCM of 151, 973, 603, 634, 381
• LCM of 298, 154, 495, 907, 537
• LCM of 803, 738, 392, 535, 654
• LCM of 915, 926, 263, 263, 493
• LCM of 511, 372, 928, 386, 460

1. What is the LCM of 122, 560, 176, 112, 230?

Answer: LCM of 122, 560, 176, 112, 230 is 8642480.

2. How to calculate the LCM of 122, 560, 176, 112, 230?

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 122, 560, 176, 112, 230.

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}.