Given numbers are 514,230,312

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

The LCM of 514,230,312 is 9221160.

Find LCM of 514,230,312 with Prime Factorization

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

2 x 257 x 115 x 156 = 9221160

Therefore, the lowest common multiple of 514,230,312 is 9221160.

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.

514 x 230 x 312 = 36884640

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.

514 : 1, 2, 257, 514

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,230,312, is 2.

Now, the common factors can be found like this.

514:2x 257

230:2x 5x 23

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 36884640/(2x2)

LCM = 36884640/4

LCM = 9221160

Thus, we can understand that the LCM of 514,230,312 is 9221160.

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

• LCM of 991, 906, 371
• LCM of 592, 236, 603
• LCM of 661, 495, 164
• LCM of 715, 800, 659
• LCM of 565, 697, 209

1. What is the LCM of 514, 230, 312?

Answer: LCM of 514, 230, 312 is 9221160.

2. How to calculate the LCM of 514, 230, 312?

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 514, 230, 312.

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}.