Given numbers are 684,932,497,608,305

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

The LCM of 684,932,497,608,305 is 193267236960.

Find LCM of 684,932,497,608,305 with Prime Factorization

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

2 x 2 x 19 x 9 x 233 x 497 x 8 x 305 = 193267236960

Therefore, the lowest common multiple of 684,932,497,608,305 is 193267236960.

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.

684 x 932 x 497 x 608 x 305 = 58753240035840

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

932 : 1, 2, 4, 233, 466, 932

497 : 1, 7, 71, 497

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,932,497,608,305, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

932:2x 2x 233

497:7x 71

608:2x 2x 2x 2x 2x 19

305:5x 61

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 19 = 304

Therefore, the value for common factors is 304.

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 = 58753240035840/(1x304)

LCM = 58753240035840/304

LCM = 193267236960

Thus, we can understand that the LCM of 684,932,497,608,305 is 193267236960.

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

• LCM of 965, 870, 342, 561, 309
• LCM of 814, 243, 262, 160, 270
• LCM of 702, 165, 902, 569, 373
• LCM of 725, 324, 589, 708, 358
• LCM of 998, 304, 769, 432, 942

1. What is the LCM of 684, 932, 497, 608, 305?

Answer: LCM of 684, 932, 497, 608, 305 is 193267236960.

2. How to calculate the LCM of 684, 932, 497, 608, 305?

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 684, 932, 497, 608, 305.

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}.