Given numbers are 71,412,284

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

The LCM of 71,412,284 is 29252.

Find LCM of 71,412,284 with Prime Factorization

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

2 x 2 x 71 x 1 x 103 x 1 = 29252

Therefore, the lowest common multiple of 71,412,284 is 29252.

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.

71 x 412 x 284 = 8307568

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.

71 : 1, 71

412 : 1, 2, 4, 103, 206, 412

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,412,284, is 1.

Now, the common factors can be found like this.

71:71

412:2x 2x 103

284:2x 2x 71

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

2x 2x 71 = 284

Therefore, the value for common factors is 284.

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 = 8307568/(1x284)

LCM = 8307568/284

LCM = 29252

Thus, we can understand that the LCM of 71,412,284 is 29252.

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

• LCM of 27, 951, 237
• LCM of 91, 160, 586
• LCM of 87, 313, 478
• LCM of 75, 952, 290
• LCM of 17, 774, 157

1. What is the LCM of 71, 412, 284?

Answer: LCM of 71, 412, 284 is 29252.

2. How to calculate the LCM of 71, 412, 284?

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 71, 412, 284.

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}.