Given numbers are 660,435,210,306

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

The LCM of 660,435,210,306 is 6832980.

Find LCM of 660,435,210,306 with Prime Factorization

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

2 x 3 x 5 x 22 x 29 x 7 x 51 = 6832980

Therefore, the lowest common multiple of 660,435,210,306 is 6832980.

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 435 x 210 x 306 = 18449046000

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,435,210,306, is 3.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

435:3x 5x 29

210:2x 3x 5x 7

306:2x 3x 3x 17

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 5 = 900

Therefore, the value for common factors is 900.

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 = 18449046000/(3x900)

LCM = 18449046000/2700

LCM = 6832980

Thus, we can understand that the LCM of 660,435,210,306 is 6832980.

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

• LCM of 988, 173, 773, 558
• LCM of 920, 812, 735, 945
• LCM of 743, 939, 502, 893
• LCM of 375, 947, 989, 810
• LCM of 882, 627, 444, 142

1. What is the LCM of 660, 435, 210, 306?

Answer: LCM of 660, 435, 210, 306 is 6832980.

2. How to calculate the LCM of 660, 435, 210, 306?

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, 435, 210, 306.

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}.