Given numbers are 221,528,234,264

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

The LCM of 221,528,234,264 is 350064.

Find LCM of 221,528,234,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 17 x 1 x 3 x 2 = 350064

Therefore, the lowest common multiple of 221,528,234,264 is 350064.

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.

221 x 528 x 234 x 264 = 7208517888

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.

221 : 1, 13, 17, 221

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,528,234,264, is 1.

Now, the common factors can be found like this.

221:13x 17

528:2x 2x 2x 2x 3x 11

234:2x 3x 3x 13

264:2x 2x 2x 3x 11

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 11x 13 = 20592

Therefore, the value for common factors is 20592.

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 = 7208517888/(1x20592)

LCM = 7208517888/20592

LCM = 350064

Thus, we can understand that the LCM of 221,528,234,264 is 350064.

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

• LCM of 439, 239, 610, 965
• LCM of 448, 767, 411, 524
• LCM of 363, 975, 288, 462
• LCM of 871, 729, 488, 446
• LCM of 400, 704, 706, 263

1. What is the LCM of 221, 528, 234, 264?

Answer: LCM of 221, 528, 234, 264 is 350064.

2. How to calculate the LCM of 221, 528, 234, 264?

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 221, 528, 234, 264.

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}.