Given numbers are 149,996,201,490,912

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

The LCM of 149,996,201,490,912 is 185139926160.

Find LCM of 149,996,201,490,912 with Prime Factorization

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

2 x 2 x 3 x 149 x 83 x 67 x 245 x 76 = 185139926160

Therefore, the lowest common multiple of 149,996,201,490,912 is 185139926160.

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.

149 x 996 x 201 x 490 x 912 = 13330074683520

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.

149 : 1, 149

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

201 : 1, 3, 67, 201

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,996,201,490,912, is 1.

Now, the common factors can be found like this.

149:149

996:2x 2x 3x 83

201:3x 67

490:2x 5x 7x 7

912:2x 2x 2x 2x 3x 19

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 13330074683520/(1x72)

LCM = 13330074683520/72

LCM = 185139926160

Thus, we can understand that the LCM of 149,996,201,490,912 is 185139926160.

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

• LCM of 776, 286, 288, 418, 619
• LCM of 478, 407, 435, 933, 803
• LCM of 557, 436, 120, 287, 394
• LCM of 597, 794, 558, 341, 225
• LCM of 387, 545, 563, 898, 637

1. What is the LCM of 149, 996, 201, 490, 912?

Answer: LCM of 149, 996, 201, 490, 912 is 185139926160.

2. How to calculate the LCM of 149, 996, 201, 490, 912?

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 149, 996, 201, 490, 912.

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}.