Given numbers are 419,76,171

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

The LCM of 419,76,171 is 286596.

Find LCM of 419,76,171 with Prime Factorization

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

19 x 419 x 4 x 9 = 286596

Therefore, the lowest common multiple of 419,76,171 is 286596.

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.

419 x 76 x 171 = 5445324

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.

419 : 1, 419

76 : 1, 2, 4, 19, 38, 76

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,76,171, is 1.

Now, the common factors can be found like this.

419:419

76:2x 2x 19

171:3x 3x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 5445324/(1x19)

LCM = 5445324/19

LCM = 286596

Thus, we can understand that the LCM of 419,76,171 is 286596.

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

• LCM of 681, 49, 838
• LCM of 742, 84, 809
• LCM of 158, 99, 415
• LCM of 995, 39, 806
• LCM of 868, 36, 580

1. What is the LCM of 419, 76, 171?

Answer: LCM of 419, 76, 171 is 286596.

2. How to calculate the LCM of 419, 76, 171?

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 419, 76, 171.

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}.