Given numbers are 213,71,349

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

The LCM of 213,71,349 is 74337.

Find LCM of 213,71,349 with Prime Factorization

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

71 x 3 x 1 x 349 = 74337

Therefore, the lowest common multiple of 213,71,349 is 74337.

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.

213 x 71 x 349 = 5277927

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.

213 : 1, 3, 71, 213

71 : 1, 71

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,71,349, is 1.

Now, the common factors can be found like this.

213:3x 71

71:71

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.

71 = 71

Therefore, the value for common factors is 71.

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 = 5277927/(1x71)

LCM = 5277927/71

LCM = 74337

Thus, we can understand that the LCM of 213,71,349 is 74337.

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

• LCM of 863, 79, 567
• LCM of 829, 10, 878
• LCM of 355, 30, 497
• LCM of 360, 77, 326
• LCM of 542, 17, 848

1. What is the LCM of 213, 71, 349?

Answer: LCM of 213, 71, 349 is 74337.

2. How to calculate the LCM of 213, 71, 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 213, 71, 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}.