Given numbers are 990,950,782,418,428

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

The LCM of 990,950,782,418,428 is 7869539700.

Find LCM of 990,950,782,418,428 with Prime Factorization

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

2 x 5 x 11 x 19 x 9 x 5 x 391 x 1 x 214 = 7869539700

Therefore, the lowest common multiple of 990,950,782,418,428 is 7869539700.

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.

990 x 950 x 782 x 418 x 428 = 131578703784000

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.

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

782 : 1, 2, 17, 23, 34, 46, 391, 782

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,950,782,418,428, is 2.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

950:2x 5x 5x 19

782:2x 17x 23

418:2x 11x 19

428:2x 2x 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 2x 5x 11x 19 = 8360

Therefore, the value for common factors is 8360.

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 = 131578703784000/(2x8360)

LCM = 131578703784000/16720

LCM = 7869539700

Thus, we can understand that the LCM of 990,950,782,418,428 is 7869539700.

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

• LCM of 846, 586, 451, 152, 638
• LCM of 752, 204, 153, 342, 185
• LCM of 698, 211, 916, 341, 125
• LCM of 687, 835, 317, 160, 486
• LCM of 240, 504, 931, 658, 117

1. What is the LCM of 990, 950, 782, 418, 428?

Answer: LCM of 990, 950, 782, 418, 428 is 7869539700.

2. How to calculate the LCM of 990, 950, 782, 418, 428?

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 990, 950, 782, 418, 428.

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}.