Given numbers are 828,133,528,496,386

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

The LCM of 828,133,528,496,386 is 28990363248.

Find LCM of 828,133,528,496,386 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 69 x 133 x 11 x 31 x 193 = 28990363248

Therefore, the lowest common multiple of 828,133,528,496,386 is 28990363248.

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.

828 x 133 x 528 x 496 x 386 = 11132299487232

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

133 : 1, 7, 19, 133

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,133,528,496,386, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

133:7x 19

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

496:2x 2x 2x 2x 31

386:2x 193

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 3 = 384

Therefore, the value for common factors is 384.

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 = 11132299487232/(1x384)

LCM = 11132299487232/384

LCM = 28990363248

Thus, we can understand that the LCM of 828,133,528,496,386 is 28990363248.

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

• LCM of 581, 450, 392, 979, 431
• LCM of 418, 120, 746, 938, 937
• LCM of 895, 307, 834, 789, 199
• LCM of 686, 574, 590, 297, 613
• LCM of 435, 588, 962, 864, 443

1. What is the LCM of 828, 133, 528, 496, 386?

Answer: LCM of 828, 133, 528, 496, 386 is 28990363248.

2. How to calculate the LCM of 828, 133, 528, 496, 386?

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 828, 133, 528, 496, 386.

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}.