Given numbers are 314,471,361

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

The LCM of 314,471,361 is 340062.

Find LCM of 314,471,361 with Prime Factorization

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

157 x 2 x 3 x 361 = 340062

Therefore, the lowest common multiple of 314,471,361 is 340062.

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 471 x 361 = 53389734

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

471 : 1, 3, 157, 471

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,471,361, is 1.

Now, the common factors can be found like this.

314:2x 157

471:3x 157

361:19x 19

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

157 = 157

Therefore, the value for common factors is 157.

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 = 53389734/(1x157)

LCM = 53389734/157

LCM = 340062

Thus, we can understand that the LCM of 314,471,361 is 340062.

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

• LCM of 464, 244, 808
• LCM of 606, 311, 415
• LCM of 154, 840, 636
• LCM of 528, 103, 613
• LCM of 528, 454, 870

1. What is the LCM of 314, 471, 361?

Answer: LCM of 314, 471, 361 is 340062.

2. How to calculate the LCM of 314, 471, 361?

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, 471, 361.

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}.