Given numbers are 828,414,137,368,921

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

The LCM of 828,414,137,368,921 is 139299408.

Find LCM of 828,414,137,368,921 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 1 x 1 x 137 x 4 x 307 = 139299408

Therefore, the lowest common multiple of 828,414,137,368,921 is 139299408.

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 414 x 137 x 368 x 921 = 15916907555712

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

137 : 1, 137

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

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,414,137,368,921, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

414:2x 3x 3x 23

137:137

368:2x 2x 2x 2x 23

921:3x 307

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 3x 3x 23x 23 = 114264

Therefore, the value for common factors is 114264.

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 = 15916907555712/(1x114264)

LCM = 15916907555712/114264

LCM = 139299408

Thus, we can understand that the LCM of 828,414,137,368,921 is 139299408.

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

• LCM of 309, 656, 940, 991, 906
• LCM of 547, 900, 814, 995, 706
• LCM of 654, 899, 402, 823, 733
• LCM of 663, 712, 714, 199, 657
• LCM of 590, 839, 662, 323, 406

1. What is the LCM of 828, 414, 137, 368, 921?

Answer: LCM of 828, 414, 137, 368, 921 is 139299408.

2. How to calculate the LCM of 828, 414, 137, 368, 921?

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, 414, 137, 368, 921.

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}.