Given numbers are 984,504,678,431

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

The LCM of 984,504,678,431 is 1006398792.

Find LCM of 984,504,678,431 with Prime Factorization

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

2 x 2 x 2 x 3 x 41 x 21 x 113 x 431 = 1006398792

Therefore, the lowest common multiple of 984,504,678,431 is 1006398792.

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 504 x 678 x 431 = 144921426048

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

678 : 1, 2, 3, 6, 113, 226, 339, 678

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,504,678,431, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

504:2x 2x 2x 3x 3x 7

678:2x 3x 113

431:431

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 = 144921426048/(1x144)

LCM = 144921426048/144

LCM = 1006398792

Thus, we can understand that the LCM of 984,504,678,431 is 1006398792.

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

• LCM of 320, 245, 365, 778
• LCM of 482, 260, 949, 815
• LCM of 336, 996, 440, 818
• LCM of 899, 426, 410, 945
• LCM of 768, 772, 650, 754

1. What is the LCM of 984, 504, 678, 431?

Answer: LCM of 984, 504, 678, 431 is 1006398792.

2. How to calculate the LCM of 984, 504, 678, 431?

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, 504, 678, 431.

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}.