Given numbers are 314,218,471

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

The LCM of 314,218,471 is 102678.

Find LCM of 314,218,471 with Prime Factorization

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

2 x 157 x 1 x 109 x 3 = 102678

Therefore, the lowest common multiple of 314,218,471 is 102678.

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.

314 x 218 x 471 = 32240892

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.

314 : 1, 2, 157, 314

218 : 1, 2, 109, 218

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,218,471, is 1.

Now, the common factors can be found like this.

314:2x 157

218:2x 109

471:3x 157

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 32240892/(1x314)

LCM = 32240892/314

LCM = 102678

Thus, we can understand that the LCM of 314,218,471 is 102678.

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

• LCM of 565, 315, 944
• LCM of 242, 208, 619
• LCM of 493, 959, 251
• LCM of 986, 231, 360
• LCM of 686, 399, 515

1. What is the LCM of 314, 218, 471?

Answer: LCM of 314, 218, 471 is 102678.

2. How to calculate the LCM of 314, 218, 471?

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 314, 218, 471.

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}.