Given numbers are 538,286,456

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

The LCM of 538,286,456 is 17540952.

Find LCM of 538,286,456 with Prime Factorization

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

2 x 269 x 143 x 228 = 17540952

Therefore, the lowest common multiple of 538,286,456 is 17540952.

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.

538 x 286 x 456 = 70163808

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.

538 : 1, 2, 269, 538

286 : 1, 2, 11, 13, 22, 26, 143, 286

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,286,456, is 2.

Now, the common factors can be found like this.

538:2x 269

286:2x 11x 13

456:2x 2x 2x 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.

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 = 70163808/(2x2)

LCM = 70163808/4

LCM = 17540952

Thus, we can understand that the LCM of 538,286,456 is 17540952.

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

• LCM of 296, 722, 561
• LCM of 614, 397, 139
• LCM of 559, 691, 594
• LCM of 682, 199, 958
• LCM of 292, 270, 439

1. What is the LCM of 538, 286, 456?

Answer: LCM of 538, 286, 456 is 17540952.

2. How to calculate the LCM of 538, 286, 456?

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 538, 286, 456.

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}.