Given numbers are 382,34,349

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

The LCM of 382,34,349 is 2266406.

Find LCM of 382,34,349 with Prime Factorization

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

2 x 191 x 17 x 349 = 2266406

Therefore, the lowest common multiple of 382,34,349 is 2266406.

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.

382 x 34 x 349 = 4532812

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.

382 : 1, 2, 191, 382

34 : 1, 2, 17, 34

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,34,349, is 1.

Now, the common factors can be found like this.

382:2x 191

34:2x 17

349:349

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 = 4532812/(1x2)

LCM = 4532812/2

LCM = 2266406

Thus, we can understand that the LCM of 382,34,349 is 2266406.

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

• LCM of 658, 20, 812
• LCM of 560, 54, 540
• LCM of 421, 66, 459
• LCM of 291, 62, 680
• LCM of 512, 90, 372

1. What is the LCM of 382, 34, 349?

Answer: LCM of 382, 34, 349 is 2266406.

2. How to calculate the LCM of 382, 34, 349?

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 382, 34, 349.

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}.