Given numbers are 498,169,473,354,822

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

The LCM of 498,169,473,354,822 is 321773123958.

Find LCM of 498,169,473,354,822 with Prime Factorization

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

2 x 3 x 83 x 169 x 473 x 59 x 137 = 321773123958

Therefore, the lowest common multiple of 498,169,473,354,822 is 321773123958.

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.

498 x 169 x 473 x 354 x 822 = 11583832462488

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.

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

169 : 1, 13, 169

473 : 1, 11, 43, 473

354 : 1, 2, 3, 6, 59, 118, 177, 354

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,169,473,354,822, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

169:13x 13

473:11x 43

354:2x 3x 59

822:2x 3x 137

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 3 = 36

Therefore, the value for common factors is 36.

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 = 11583832462488/(1x36)

LCM = 11583832462488/36

LCM = 321773123958

Thus, we can understand that the LCM of 498,169,473,354,822 is 321773123958.

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

• LCM of 635, 799, 261, 302, 606
• LCM of 848, 467, 216, 763, 932
• LCM of 907, 791, 518, 324, 247
• LCM of 647, 546, 138, 789, 999
• LCM of 444, 818, 845, 274, 290

1. What is the LCM of 498, 169, 473, 354, 822?

Answer: LCM of 498, 169, 473, 354, 822 is 321773123958.

2. How to calculate the LCM of 498, 169, 473, 354, 822?

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 498, 169, 473, 354, 822.

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}.