Given numbers are 528,547,312,299

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

The LCM of 528,547,312,299 is 86355984.

Find LCM of 528,547,312,299 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 22 x 547 x 1 x 23 = 86355984

Therefore, the lowest common multiple of 528,547,312,299 is 86355984.

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 547 x 312 x 299 = 26943067008

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

547 : 1, 547

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,547,312,299, is 1.

Now, the common factors can be found like this.

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

547:547

312:2x 2x 2x 3x 13

299:13x 23

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 26943067008/(1x312)

LCM = 26943067008/312

LCM = 86355984

Thus, we can understand that the LCM of 528,547,312,299 is 86355984.

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

• LCM of 916, 611, 291, 188
• LCM of 453, 315, 878, 696
• LCM of 653, 967, 305, 162
• LCM of 958, 388, 998, 582
• LCM of 896, 789, 282, 455

1. What is the LCM of 528, 547, 312, 299?

Answer: LCM of 528, 547, 312, 299 is 86355984.

2. How to calculate the LCM of 528, 547, 312, 299?

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, 547, 312, 299.

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}.