Given numbers are 528,956,318,687,144

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

The LCM of 528,956,318,687,144 is 4594776912.

Find LCM of 528,956,318,687,144 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 239 x 53 x 229 x 3 = 4594776912

Therefore, the lowest common multiple of 528,956,318,687,144 is 4594776912.

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.

528 x 956 x 318 x 687 x 144 = 15879549007872

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.

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

956 : 1, 2, 4, 239, 478, 956

318 : 1, 2, 3, 6, 53, 106, 159, 318

687 : 1, 3, 229, 687

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,956,318,687,144, is 1.

Now, the common factors can be found like this.

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

956:2x 2x 239

318:2x 3x 53

687:3x 229

144:2x 2x 2x 2x 3x 3

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 2x 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 15879549007872/(1x3456)

LCM = 15879549007872/3456

LCM = 4594776912

Thus, we can understand that the LCM of 528,956,318,687,144 is 4594776912.

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

• LCM of 157, 645, 522, 401, 672
• LCM of 210, 914, 443, 482, 441
• LCM of 194, 592, 693, 211, 846
• LCM of 276, 235, 133, 948, 167
• LCM of 352, 986, 773, 993, 288

1. What is the LCM of 528, 956, 318, 687, 144?

Answer: LCM of 528, 956, 318, 687, 144 is 4594776912.

2. How to calculate the LCM of 528, 956, 318, 687, 144?

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 528, 956, 318, 687, 144.

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}.