Given numbers are 828,348,642,214

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

The LCM of 828,348,642,214 is 2569284.

Find LCM of 828,348,642,214 with Prime Factorization

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

2 x 2 x 3 x 107 x 69 x 29 x 1 x 1 = 2569284

Therefore, the lowest common multiple of 828,348,642,214 is 2569284.

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 348 x 642 x 214 = 39587527872

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

642 : 1, 2, 3, 6, 107, 214, 321, 642

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,348,642,214, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

348:2x 2x 3x 29

642:2x 3x 107

214:2x 107

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 107 = 7704

Therefore, the value for common factors is 7704.

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 = 39587527872/(2x7704)

LCM = 39587527872/15408

LCM = 2569284

Thus, we can understand that the LCM of 828,348,642,214 is 2569284.

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

• LCM of 974, 248, 857, 547
• LCM of 627, 288, 834, 986
• LCM of 720, 209, 973, 633
• LCM of 574, 606, 749, 937
• LCM of 649, 342, 963, 231

1. What is the LCM of 828, 348, 642, 214?

Answer: LCM of 828, 348, 642, 214 is 2569284.

2. How to calculate the LCM of 828, 348, 642, 214?

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, 348, 642, 214.

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}.