Given numbers are 984,804,939,930,338

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

The LCM of 984,804,939,930,338 is 540545979480.

Find LCM of 984,804,939,930,338 with Prime Factorization

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

2 x 2 x 3 x 82 x 67 x 313 x 155 x 169 = 540545979480

Therefore, the lowest common multiple of 984,804,939,930,338 is 540545979480.

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.

984 x 804 x 939 x 930 x 338 = 233515863135360

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.

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

939 : 1, 3, 313, 939

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,804,939,930,338, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

804:2x 2x 3x 67

939:3x 313

930:2x 3x 5x 31

338:2x 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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 233515863135360/(1x432)

LCM = 233515863135360/432

LCM = 540545979480

Thus, we can understand that the LCM of 984,804,939,930,338 is 540545979480.

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

• LCM of 643, 345, 945, 900, 378
• LCM of 293, 619, 508, 397, 294
• LCM of 634, 834, 784, 107, 921
• LCM of 603, 939, 695, 661, 500
• LCM of 943, 398, 918, 188, 271

1. What is the LCM of 984, 804, 939, 930, 338?

Answer: LCM of 984, 804, 939, 930, 338 is 540545979480.

2. How to calculate the LCM of 984, 804, 939, 930, 338?

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 984, 804, 939, 930, 338.

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}.