Given numbers are 984,192,936,364

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

The LCM of 984,192,936,364 is 2149056.

Find LCM of 984,192,936,364 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 41 x 8 x 3 x 7 = 2149056

Therefore, the lowest common multiple of 984,192,936,364 is 2149056.

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 192 x 936 x 364 = 64368525312

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,192,936,364, is 4.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

192:2x 2x 2x 2x 2x 2x 3

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

364:2x 2x 7x 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 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 64368525312/(4x7488)

LCM = 64368525312/29952

LCM = 2149056

Thus, we can understand that the LCM of 984,192,936,364 is 2149056.

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

• LCM of 384, 718, 907, 367
• LCM of 175, 735, 850, 860
• LCM of 961, 263, 161, 989
• LCM of 112, 698, 770, 921
• LCM of 249, 612, 364, 147

1. What is the LCM of 984, 192, 936, 364?

Answer: LCM of 984, 192, 936, 364 is 2149056.

2. How to calculate the LCM of 984, 192, 936, 364?

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, 192, 936, 364.

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}.