Given numbers are 230,866,814,357

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

The LCM of 230,866,814,357 is 14470327410.

Find LCM of 230,866,814,357 with Prime Factorization

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

2 x 115 x 433 x 407 x 357 = 14470327410

Therefore, the lowest common multiple of 230,866,814,357 is 14470327410.

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 866 x 814 x 357 = 57881309640

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

866 : 1, 2, 433, 866

814 : 1, 2, 11, 22, 37, 74, 407, 814

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,866,814,357, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

866:2x 433

814:2x 11x 37

357:3x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 57881309640/(1x4)

LCM = 57881309640/4

LCM = 14470327410

Thus, we can understand that the LCM of 230,866,814,357 is 14470327410.

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

• LCM of 860, 623, 751, 355
• LCM of 934, 871, 801, 654
• LCM of 257, 550, 793, 983
• LCM of 940, 426, 719, 540
• LCM of 169, 999, 474, 461

1. What is the LCM of 230, 866, 814, 357?

Answer: LCM of 230, 866, 814, 357 is 14470327410.

2. How to calculate the LCM of 230, 866, 814, 357?

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, 866, 814, 357.

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}.