Given numbers are 498,334,230,786,676

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

The LCM of 498,334,230,786,676 is 423478777020.

Find LCM of 498,334,230,786,676 with Prime Factorization

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

2 x 3 x 83 x 167 x 115 x 131 x 338 = 423478777020

Therefore, the lowest common multiple of 498,334,230,786,676 is 423478777020.

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 334 x 230 x 786 x 676 = 20326981296960

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

334 : 1, 2, 167, 334

230 : 1, 2, 5, 10, 23, 46, 115, 230

786 : 1, 2, 3, 6, 131, 262, 393, 786

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,334,230,786,676, is 2.

Now, the common factors can be found like this.

498:2x 3x 83

334:2x 167

230:2x 5x 23

786:2x 3x 131

676:2x 2x 13x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 20326981296960/(2x24)

LCM = 20326981296960/48

LCM = 423478777020

Thus, we can understand that the LCM of 498,334,230,786,676 is 423478777020.

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

• LCM of 318, 673, 285, 885, 788
• LCM of 120, 495, 974, 335, 643
• LCM of 898, 255, 511, 650, 218
• LCM of 179, 874, 590, 282, 508
• LCM of 933, 948, 582, 691, 973

1. What is the LCM of 498, 334, 230, 786, 676?

Answer: LCM of 498, 334, 230, 786, 676 is 423478777020.

2. How to calculate the LCM of 498, 334, 230, 786, 676?

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, 334, 230, 786, 676.

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}.