Given numbers are 150,780,428,990

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

The LCM of 150,780,428,990 is 13770900.

Find LCM of 150,780,428,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 13 x 107 x 33 = 13770900

Therefore, the lowest common multiple of 150,780,428,990 is 13770900.

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.

150 x 780 x 428 x 990 = 49575240000

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

428 : 1, 2, 4, 107, 214, 428

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,780,428,990, is 2.

Now, the common factors can be found like this.

150:2x 3x 5x 5

780:2x 2x 3x 5x 13

428:2x 2x 107

990:2x 3x 3x 5x 11

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 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 49575240000/(2x1800)

LCM = 49575240000/3600

LCM = 13770900

Thus, we can understand that the LCM of 150,780,428,990 is 13770900.

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

• LCM of 787, 380, 871, 290
• LCM of 496, 594, 250, 310
• LCM of 551, 728, 930, 945
• LCM of 115, 580, 694, 678
• LCM of 806, 261, 569, 847

1. What is the LCM of 150, 780, 428, 990?

Answer: LCM of 150, 780, 428, 990 is 13770900.

2. How to calculate the LCM of 150, 780, 428, 990?

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 150, 780, 428, 990.

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}.