Given numbers are 498,273,456,290,163

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

The LCM of 498,273,456,290,163 is 81402910680.

Find LCM of 498,273,456,290,163 with Prime Factorization

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

2 x 3 x 83 x 91 x 76 x 145 x 163 = 81402910680

Therefore, the lowest common multiple of 498,273,456,290,163 is 81402910680.

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 273 x 456 x 290 x 163 = 2930504784480

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

290 : 1, 2, 5, 10, 29, 58, 145, 290

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,273,456,290,163, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

273:3x 7x 13

456:2x 2x 2x 3x 19

290:2x 5x 29

163:163

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 = 2930504784480/(1x36)

LCM = 2930504784480/36

LCM = 81402910680

Thus, we can understand that the LCM of 498,273,456,290,163 is 81402910680.

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

• LCM of 678, 654, 602, 985, 908
• LCM of 360, 143, 702, 864, 223
• LCM of 588, 184, 351, 297, 153
• LCM of 766, 386, 552, 246, 906
• LCM of 573, 695, 466, 246, 808

1. What is the LCM of 498, 273, 456, 290, 163?

Answer: LCM of 498, 273, 456, 290, 163 is 81402910680.

2. How to calculate the LCM of 498, 273, 456, 290, 163?

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, 273, 456, 290, 163.

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}.