Given numbers are 271,35,405

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

The LCM of 271,35,405 is 768285.

Find LCM of 271,35,405 with Prime Factorization

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

5 x 271 x 7 x 81 = 768285

Therefore, the lowest common multiple of 271,35,405 is 768285.

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.

271 x 35 x 405 = 3841425

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.

271 : 1, 271

35 : 1, 5, 7, 35

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,35,405, is 1.

Now, the common factors can be found like this.

271:271

35:5x 7

405:3x 3x 3x 3x 5

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

5 = 5

Therefore, the value for common factors is 5.

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 = 3841425/(1x5)

LCM = 3841425/5

LCM = 768285

Thus, we can understand that the LCM of 271,35,405 is 768285.

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

• LCM of 952, 22, 975
• LCM of 354, 89, 264
• LCM of 793, 42, 821
• LCM of 794, 71, 854
• LCM of 918, 39, 248

1. What is the LCM of 271, 35, 405?

Answer: LCM of 271, 35, 405 is 768285.

2. How to calculate the LCM of 271, 35, 405?

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 271, 35, 405.

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}.