Given numbers are 214,460,318,963

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

The LCM of 214,460,318,963 is 23477940.

Find LCM of 214,460,318,963 with Prime Factorization

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

2 x 3 x 107 x 1 x 230 x 53 x 3 = 23477940

Therefore, the lowest common multiple of 214,460,318,963 is 23477940.

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.

214 x 460 x 318 x 963 = 30145674960

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.

214 : 1, 2, 107, 214

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

318 : 1, 2, 3, 6, 53, 106, 159, 318

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,460,318,963, is 1.

Now, the common factors can be found like this.

214:2x 107

460:2x 2x 5x 23

318:2x 3x 53

963:3x 3x 107

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 107 = 1284

Therefore, the value for common factors is 1284.

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 = 30145674960/(1x1284)

LCM = 30145674960/1284

LCM = 23477940

Thus, we can understand that the LCM of 214,460,318,963 is 23477940.

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

• LCM of 714, 179, 900, 111
• LCM of 943, 941, 107, 910
• LCM of 108, 209, 386, 932
• LCM of 113, 995, 144, 421
• LCM of 145, 677, 314, 445

1. What is the LCM of 214, 460, 318, 963?

Answer: LCM of 214, 460, 318, 963 is 23477940.

2. How to calculate the LCM of 214, 460, 318, 963?

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 214, 460, 318, 963.

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}.