Given numbers are 828,758,495,347,414

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

The LCM of 828,758,495,347,414 is 5989102020.

Find LCM of 828,758,495,347,414 with Prime Factorization

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

2 x 3 x 3 x 23 x 2 x 379 x 55 x 347 x 1 = 5989102020

Therefore, the lowest common multiple of 828,758,495,347,414 is 5989102020.

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 758 x 495 x 347 x 414 = 44630788253040

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

758 : 1, 2, 379, 758

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

347 : 1, 347

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,758,495,347,414, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

758:2x 379

495:3x 3x 5x 11

347:347

414:2x 3x 3x 23

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 3x 3x 3x 3x 23 = 7452

Therefore, the value for common factors is 7452.

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 = 44630788253040/(1x7452)

LCM = 44630788253040/7452

LCM = 5989102020

Thus, we can understand that the LCM of 828,758,495,347,414 is 5989102020.

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

• LCM of 537, 192, 146, 763, 170
• LCM of 411, 695, 551, 781, 857
• LCM of 278, 358, 257, 871, 301
• LCM of 846, 702, 328, 645, 204
• LCM of 653, 171, 166, 616, 850

1. What is the LCM of 828, 758, 495, 347, 414?

Answer: LCM of 828, 758, 495, 347, 414 is 5989102020.

2. How to calculate the LCM of 828, 758, 495, 347, 414?

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, 758, 495, 347, 414.

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}.