Given numbers are 303,305,840,390,632

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

The LCM of 303,305,840,390,632 is 5314971480.

Find LCM of 303,305,840,390,632 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 101 x 61 x 7 x 13 x 79 = 5314971480

Therefore, the lowest common multiple of 303,305,840,390,632 is 5314971480.

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.

303 x 305 x 840 x 390 x 632 = 19133897328000

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.

303 : 1, 3, 101, 303

305 : 1, 5, 61, 305

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,305,840,390,632, is 1.

Now, the common factors can be found like this.

303:3x 101

305:5x 61

840:2x 2x 2x 3x 5x 7

390:2x 3x 5x 13

632:2x 2x 2x 79

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 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 19133897328000/(1x3600)

LCM = 19133897328000/3600

LCM = 5314971480

Thus, we can understand that the LCM of 303,305,840,390,632 is 5314971480.

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

• LCM of 709, 139, 418, 478, 606
• LCM of 115, 827, 609, 225, 124
• LCM of 258, 831, 931, 455, 313
• LCM of 175, 885, 362, 377, 807
• LCM of 926, 746, 734, 169, 268

1. What is the LCM of 303, 305, 840, 390, 632?

Answer: LCM of 303, 305, 840, 390, 632 is 5314971480.

2. How to calculate the LCM of 303, 305, 840, 390, 632?

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 303, 305, 840, 390, 632.

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}.