Given numbers are 828,363,843,514

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

The LCM of 828,363,843,514 is 7235276796.

Find LCM of 828,363,843,514 with Prime Factorization

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

2 x 3 x 138 x 121 x 281 x 257 = 7235276796

Therefore, the lowest common multiple of 828,363,843,514 is 7235276796.

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 363 x 843 x 514 = 130234982328

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

363 : 1, 3, 11, 33, 121, 363

843 : 1, 3, 281, 843

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,363,843,514, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

363:3x 11x 11

843:3x 281

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 130234982328/(1x18)

LCM = 130234982328/18

LCM = 7235276796

Thus, we can understand that the LCM of 828,363,843,514 is 7235276796.

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

• LCM of 883, 116, 198, 733
• LCM of 810, 633, 218, 377
• LCM of 771, 757, 810, 107
• LCM of 443, 931, 976, 347
• LCM of 473, 395, 603, 577

1. What is the LCM of 828, 363, 843, 514?

Answer: LCM of 828, 363, 843, 514 is 7235276796.

2. How to calculate the LCM of 828, 363, 843, 514?

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, 363, 843, 514.

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}.