Given numbers are 828,414,104,477,495

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

The LCM of 828,414,104,477,495 is 62754120.

Find LCM of 828,414,104,477,495 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 26 x 53 x 55 = 62754120

Therefore, the lowest common multiple of 828,414,104,477,495 is 62754120.

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 104 x 477 x 495 = 8417586640320

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

477 : 1, 3, 9, 53, 159, 477

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,414,104,477,495, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

414:2x 3x 3x 23

104:2x 2x 2x 13

477:3x 3x 53

495:3x 3x 5x 11

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 3x 3x 3x 23 = 134136

Therefore, the value for common factors is 134136.

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 = 8417586640320/(1x134136)

LCM = 8417586640320/134136

LCM = 62754120

Thus, we can understand that the LCM of 828,414,104,477,495 is 62754120.

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

• LCM of 100, 744, 292, 171, 332
• LCM of 115, 510, 818, 463, 186
• LCM of 119, 836, 417, 626, 159
• LCM of 153, 138, 402, 284, 587
• LCM of 616, 568, 223, 141, 308

1. What is the LCM of 828, 414, 104, 477, 495?

Answer: LCM of 828, 414, 104, 477, 495 is 62754120.

2. How to calculate the LCM of 828, 414, 104, 477, 495?

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, 104, 477, 495.

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}.