Given numbers are 293,270,266,808,540

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

The LCM of 293,270,266,808,540 is 4250738520.

Find LCM of 293,270,266,808,540 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 5 x 293 x 1 x 133 x 202 x 1 = 4250738520

Therefore, the lowest common multiple of 293,270,266,808,540 is 4250738520.

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.

293 x 270 x 266 x 808 x 540 = 9181595203200

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.

293 : 1, 293

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

808 : 1, 2, 4, 8, 101, 202, 404, 808

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,270,266,808,540, is 1.

Now, the common factors can be found like this.

293:293

270:2x 3x 3x 3x 5

266:2x 7x 19

808:2x 2x 2x 101

540:2x 2x 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.

2x 2x 2x 2x 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 9181595203200/(1x2160)

LCM = 9181595203200/2160

LCM = 4250738520

Thus, we can understand that the LCM of 293,270,266,808,540 is 4250738520.

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

• LCM of 180, 195, 724, 557, 880
• LCM of 863, 649, 334, 744, 686
• LCM of 327, 896, 952, 510, 135
• LCM of 479, 338, 692, 141, 248
• LCM of 170, 276, 717, 600, 588

1. What is the LCM of 293, 270, 266, 808, 540?

Answer: LCM of 293, 270, 266, 808, 540 is 4250738520.

2. How to calculate the LCM of 293, 270, 266, 808, 540?

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 293, 270, 266, 808, 540.

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}.