Given numbers are 521,498,594,492,546

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

The LCM of 521,498,594,492,546 is 191671484004.

Find LCM of 521,498,594,492,546 with Prime Factorization

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

2 x 3 x 521 x 83 x 99 x 82 x 91 = 191671484004

Therefore, the lowest common multiple of 521,498,594,492,546 is 191671484004.

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.

521 x 498 x 594 x 492 x 546 = 41401040544864

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.

521 : 1, 521

498 : 1, 2, 3, 6, 83, 166, 249, 498

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,498,594,492,546, is 1.

Now, the common factors can be found like this.

521:521

498:2x 3x 83

594:2x 3x 3x 3x 11

492:2x 2x 3x 41

546:2x 3x 7x 13

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 3 = 216

Therefore, the value for common factors is 216.

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 = 41401040544864/(1x216)

LCM = 41401040544864/216

LCM = 191671484004

Thus, we can understand that the LCM of 521,498,594,492,546 is 191671484004.

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

• LCM of 559, 199, 582, 341, 338
• LCM of 614, 809, 253, 586, 424
• LCM of 108, 845, 252, 916, 493
• LCM of 320, 364, 573, 514, 707
• LCM of 513, 864, 902, 979, 166

1. What is the LCM of 521, 498, 594, 492, 546?

Answer: LCM of 521, 498, 594, 492, 546 is 191671484004.

2. How to calculate the LCM of 521, 498, 594, 492, 546?

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 521, 498, 594, 492, 546.

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}.