Given numbers are 488,146,588,867,149

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

The LCM of 488,146,588,867,149 is 225498744408.

Find LCM of 488,146,588,867,149 with Prime Factorization

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

2 x 2 x 3 x 122 x 73 x 49 x 289 x 149 = 225498744408

Therefore, the lowest common multiple of 488,146,588,867,149 is 225498744408.

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.

488 x 146 x 588 x 867 x 149 = 5411969865792

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

146 : 1, 2, 73, 146

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

867 : 1, 3, 17, 51, 289, 867

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,146,588,867,149, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

146:2x 73

588:2x 2x 3x 7x 7

867:3x 17x 17

149:149

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5411969865792/(1x24)

LCM = 5411969865792/24

LCM = 225498744408

Thus, we can understand that the LCM of 488,146,588,867,149 is 225498744408.

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

• LCM of 142, 162, 595, 276, 950
• LCM of 598, 752, 824, 244, 895
• LCM of 179, 988, 334, 590, 248
• LCM of 670, 918, 175, 798, 160
• LCM of 267, 990, 178, 217, 739

1. What is the LCM of 488, 146, 588, 867, 149?

Answer: LCM of 488, 146, 588, 867, 149 is 225498744408.

2. How to calculate the LCM of 488, 146, 588, 867, 149?

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 488, 146, 588, 867, 149.

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}.