Given numbers are 828,368,652,740,829

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

The LCM of 828,368,652,740,829 is 82795015440.

Find LCM of 828,368,652,740,829 with Prime Factorization

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

2 x 2 x 23 x 9 x 4 x 163 x 185 x 829 = 82795015440

Therefore, the lowest common multiple of 828,368,652,740,829 is 82795015440.

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 368 x 652 x 740 x 829 = 121874262727680

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

652 : 1, 2, 4, 163, 326, 652

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,368,652,740,829, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

368:2x 2x 2x 2x 23

652:2x 2x 163

740:2x 2x 5x 37

829:829

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 23 = 1472

Therefore, the value for common factors is 1472.

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 = 121874262727680/(1x1472)

LCM = 121874262727680/1472

LCM = 82795015440

Thus, we can understand that the LCM of 828,368,652,740,829 is 82795015440.

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

• LCM of 563, 773, 191, 272, 848
• LCM of 405, 184, 106, 792, 752
• LCM of 296, 283, 579, 263, 679
• LCM of 488, 751, 636, 988, 495
• LCM of 129, 310, 179, 627, 385

1. What is the LCM of 828, 368, 652, 740, 829?

Answer: LCM of 828, 368, 652, 740, 829 is 82795015440.

2. How to calculate the LCM of 828, 368, 652, 740, 829?

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, 368, 652, 740, 829.

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}.