Given numbers are 149,407,106,492,386

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

The LCM of 149,407,106,492,386 is 305196085524.

Find LCM of 149,407,106,492,386 with Prime Factorization

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

2 x 149 x 407 x 53 x 246 x 193 = 305196085524

Therefore, the lowest common multiple of 149,407,106,492,386 is 305196085524.

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 407 x 106 x 492 x 386 = 1220784342096

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

407 : 1, 11, 37, 407

106 : 1, 2, 53, 106

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,407,106,492,386, is 1.

Now, the common factors can be found like this.

149:149

407:11x 37

106:2x 53

492:2x 2x 3x 41

386:2x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1220784342096/(1x4)

LCM = 1220784342096/4

LCM = 305196085524

Thus, we can understand that the LCM of 149,407,106,492,386 is 305196085524.

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

• LCM of 897, 766, 513, 850, 250
• LCM of 789, 412, 191, 181, 953
• LCM of 216, 533, 764, 720, 164
• LCM of 805, 206, 660, 872, 981
• LCM of 282, 540, 581, 881, 430

1. What is the LCM of 149, 407, 106, 492, 386?

Answer: LCM of 149, 407, 106, 492, 386 is 305196085524.

2. How to calculate the LCM of 149, 407, 106, 492, 386?

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, 407, 106, 492, 386.

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}.