Given numbers are 230,638,968,660

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

The LCM of 230,638,968,660 is 9684840.

Find LCM of 230,638,968,660 with Prime Factorization

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

2 x 2 x 5 x 11 x 23 x 29 x 22 x 3 = 9684840

Therefore, the lowest common multiple of 230,638,968,660 is 9684840.

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.

230 x 638 x 968 x 660 = 93749251200

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

638 : 1, 2, 11, 22, 29, 58, 319, 638

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,638,968,660, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

638:2x 11x 29

968:2x 2x 2x 11x 11

660:2x 2x 3x 5x 11

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 5x 11x 11 = 4840

Therefore, the value for common factors is 4840.

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 = 93749251200/(2x4840)

LCM = 93749251200/9680

LCM = 9684840

Thus, we can understand that the LCM of 230,638,968,660 is 9684840.

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

• LCM of 435, 292, 252, 443
• LCM of 601, 725, 201, 361
• LCM of 689, 752, 820, 260
• LCM of 432, 682, 389, 318
• LCM of 803, 712, 943, 232

1. What is the LCM of 230, 638, 968, 660?

Answer: LCM of 230, 638, 968, 660 is 9684840.

2. How to calculate the LCM of 230, 638, 968, 660?

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 230, 638, 968, 660.

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}.