Given numbers are 461,324,936,990

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

The LCM of 461,324,936,990 is 213590520.

Find LCM of 461,324,936,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 461 x 9 x 26 x 55 = 213590520

Therefore, the lowest common multiple of 461,324,936,990 is 213590520.

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.

461 x 324 x 936 x 990 = 138406656960

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.

461 : 1, 461

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,324,936,990, is 1.

Now, the common factors can be found like this.

461:461

324:2x 2x 3x 3x 3x 3

936:2x 2x 2x 3x 3x 13

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 138406656960/(1x648)

LCM = 138406656960/648

LCM = 213590520

Thus, we can understand that the LCM of 461,324,936,990 is 213590520.

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

• LCM of 516, 397, 303, 419
• LCM of 392, 985, 994, 977
• LCM of 649, 629, 554, 534
• LCM of 867, 973, 225, 633
• LCM of 657, 216, 640, 490

1. What is the LCM of 461, 324, 936, 990?

Answer: LCM of 461, 324, 936, 990 is 213590520.

2. How to calculate the LCM of 461, 324, 936, 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 461, 324, 936, 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}.