Given numbers are 264,293,385,11

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

The LCM of 264,293,385,11 is 2707320.

Find LCM of 264,293,385,11 with Prime Factorization

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

11 x 24 x 293 x 35 x 1 = 2707320

Therefore, the lowest common multiple of 264,293,385,11 is 2707320.

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.

264 x 293 x 385 x 11 = 327585720

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

293 : 1, 293

385 : 1, 5, 7, 11, 35, 55, 77, 385

11 : 1, 11

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,293,385,11, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

293:293

385:5x 7x 11

11:11

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 327585720/(1x121)

LCM = 327585720/121

LCM = 2707320

Thus, we can understand that the LCM of 264,293,385,11 is 2707320.

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

• LCM of 806, 762, 444, 71
• LCM of 431, 390, 849, 52
• LCM of 877, 739, 771, 26
• LCM of 405, 222, 411, 84
• LCM of 388, 665, 830, 50

1. What is the LCM of 264, 293, 385, 11?

Answer: LCM of 264, 293, 385, 11 is 2707320.

2. How to calculate the LCM of 264, 293, 385, 11?

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 264, 293, 385, 11.

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}.