Given numbers are 660,390,234,305

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

The LCM of 660,390,234,305 is 1570140.

Find LCM of 660,390,234,305 with Prime Factorization

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

2 x 3 x 5 x 13 x 22 x 1 x 3 x 61 = 1570140

Therefore, the lowest common multiple of 660,390,234,305 is 1570140.

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.

660 x 390 x 234 x 305 = 18370638000

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,390,234,305, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

390:2x 3x 5x 13

234:2x 3x 3x 13

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 3x 3x 5x 5x 13 = 11700

Therefore, the value for common factors is 11700.

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 = 18370638000/(1x11700)

LCM = 18370638000/11700

LCM = 1570140

Thus, we can understand that the LCM of 660,390,234,305 is 1570140.

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

• LCM of 363, 199, 979, 872
• LCM of 398, 639, 392, 781
• LCM of 114, 489, 266, 275
• LCM of 150, 659, 381, 542
• LCM of 147, 821, 917, 553

1. What is the LCM of 660, 390, 234, 305?

Answer: LCM of 660, 390, 234, 305 is 1570140.

2. How to calculate the LCM of 660, 390, 234, 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 660, 390, 234, 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}.