Given numbers are 468,720,990,235,619

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

The LCM of 468,720,990,235,619 is 2995415280.

Find LCM of 468,720,990,235,619 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 4 x 11 x 47 x 619 = 2995415280

Therefore, the lowest common multiple of 468,720,990,235,619 is 2995415280.

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.

468 x 720 x 990 x 235 x 619 = 48525727536000

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

235 : 1, 5, 47, 235

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,720,990,235,619, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

720:2x 2x 2x 2x 3x 3x 5

990:2x 3x 3x 5x 11

235:5x 47

619:619

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 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 48525727536000/(1x16200)

LCM = 48525727536000/16200

LCM = 2995415280

Thus, we can understand that the LCM of 468,720,990,235,619 is 2995415280.

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

• LCM of 849, 820, 301, 508, 317
• LCM of 307, 623, 292, 190, 135
• LCM of 132, 968, 559, 454, 274
• LCM of 527, 451, 704, 687, 985
• LCM of 258, 131, 233, 455, 472

1. What is the LCM of 468, 720, 990, 235, 619?

Answer: LCM of 468, 720, 990, 235, 619 is 2995415280.

2. How to calculate the LCM of 468, 720, 990, 235, 619?

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 468, 720, 990, 235, 619.

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}.