Given numbers are 498,326,936,984

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

The LCM of 498,326,936,984 is 519188904.

Find LCM of 498,326,936,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 83 x 163 x 39 x 41 = 519188904

Therefore, the lowest common multiple of 498,326,936,984 is 519188904.

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 326 x 936 x 984 = 149526404352

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

326 : 1, 2, 163, 326

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,326,936,984, is 2.

Now, the common factors can be found like this.

498:2x 3x 83

326:2x 163

936:2x 2x 2x 3x 3x 13

984:2x 2x 2x 3x 41

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 149526404352/(2x144)

LCM = 149526404352/288

LCM = 519188904

Thus, we can understand that the LCM of 498,326,936,984 is 519188904.

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

• LCM of 722, 865, 536, 916
• LCM of 454, 118, 358, 564
• LCM of 818, 876, 761, 600
• LCM of 400, 911, 241, 961
• LCM of 126, 562, 876, 667

1. What is the LCM of 498, 326, 936, 984?

Answer: LCM of 498, 326, 936, 984 is 519188904.

2. How to calculate the LCM of 498, 326, 936, 984?

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, 326, 936, 984.

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}.