Given numbers are 324,556,498,434,924

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

The LCM of 324,556,498,434,924 is 8922577356.

Find LCM of 324,556,498,434,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 27 x 139 x 83 x 31 x 11 = 8922577356

Therefore, the lowest common multiple of 324,556,498,434,924 is 8922577356.

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.

324 x 556 x 498 x 434 x 924 = 35975831899392

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

556 : 1, 2, 4, 139, 278, 556

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

434 : 1, 2, 7, 14, 31, 62, 217, 434

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,556,498,434,924, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

556:2x 2x 139

498:2x 3x 83

434:2x 7x 31

924:2x 2x 3x 7x 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 2x 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 35975831899392/(2x2016)

LCM = 35975831899392/4032

LCM = 8922577356

Thus, we can understand that the LCM of 324,556,498,434,924 is 8922577356.

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

• LCM of 946, 955, 258, 679, 516
• LCM of 850, 225, 684, 265, 359
• LCM of 480, 617, 840, 775, 759
• LCM of 106, 968, 170, 415, 807
• LCM of 364, 739, 910, 314, 123

1. What is the LCM of 324, 556, 498, 434, 924?

Answer: LCM of 324, 556, 498, 434, 924 is 8922577356.

2. How to calculate the LCM of 324, 556, 498, 434, 924?

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 324, 556, 498, 434, 924.

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}.