Given numbers are 149,690,900,642

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

The LCM of 149,690,900,642 is 330020100.

Find LCM of 149,690,900,642 with Prime Factorization

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

2 x 3 x 5 x 149 x 23 x 30 x 107 = 330020100

Therefore, the lowest common multiple of 149,690,900,642 is 330020100.

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 690 x 900 x 642 = 59403618000

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,690,900,642, is 1.

Now, the common factors can be found like this.

149:149

690:2x 3x 5x 23

900:2x 2x 3x 3x 5x 5

642:2x 3x 107

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 59403618000/(1x180)

LCM = 59403618000/180

LCM = 330020100

Thus, we can understand that the LCM of 149,690,900,642 is 330020100.

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

• LCM of 441, 733, 907, 131
• LCM of 834, 245, 437, 823
• LCM of 917, 139, 393, 877
• LCM of 467, 872, 709, 665
• LCM of 154, 883, 171, 236

1. What is the LCM of 149, 690, 900, 642?

Answer: LCM of 149, 690, 900, 642 is 330020100.

2. How to calculate the LCM of 149, 690, 900, 642?

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, 690, 900, 642.

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}.