Given numbers are 990,574,720,586,235

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

The LCM of 990,574,720,586,235 is 31302033840.

Find LCM of 990,574,720,586,235 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 287 x 8 x 293 x 47 = 31302033840

Therefore, the lowest common multiple of 990,574,720,586,235 is 31302033840.

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 574 x 720 x 586 x 235 = 56343660912000

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

586 : 1, 2, 293, 586

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,574,720,586,235, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

574:2x 7x 41

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

586:2x 293

235:5x 47

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 = 56343660912000/(1x1800)

LCM = 56343660912000/1800

LCM = 31302033840

Thus, we can understand that the LCM of 990,574,720,586,235 is 31302033840.

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

• LCM of 370, 426, 456, 465, 172
• LCM of 333, 598, 360, 114, 815
• LCM of 907, 886, 546, 194, 811
• LCM of 482, 104, 377, 104, 214
• LCM of 208, 660, 189, 486, 856

1. What is the LCM of 990, 574, 720, 586, 235?

Answer: LCM of 990, 574, 720, 586, 235 is 31302033840.

2. How to calculate the LCM of 990, 574, 720, 586, 235?

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, 574, 720, 586, 235.

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}.