Given numbers are 270,406,442

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

The LCM of 270,406,442 is 12113010.

Find LCM of 270,406,442 with Prime Factorization

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

2 x 135 x 203 x 221 = 12113010

Therefore, the lowest common multiple of 270,406,442 is 12113010.

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.

270 x 406 x 442 = 48452040

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

406 : 1, 2, 7, 14, 29, 58, 203, 406

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,406,442, is 2.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

406:2x 7x 29

442:2x 13x 17

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 = 48452040/(2x2)

LCM = 48452040/4

LCM = 12113010

Thus, we can understand that the LCM of 270,406,442 is 12113010.

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

• LCM of 708, 690, 156
• LCM of 583, 471, 726
• LCM of 456, 601, 282
• LCM of 719, 223, 731
• LCM of 369, 988, 653

1. What is the LCM of 270, 406, 442?

Answer: LCM of 270, 406, 442 is 12113010.

2. How to calculate the LCM of 270, 406, 442?

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 270, 406, 442.

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}.