Given numbers are 984,432,878,509

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

The LCM of 984,432,878,509 is 3957764112.

Find LCM of 984,432,878,509 with Prime Factorization

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

2 x 2 x 2 x 3 x 41 x 18 x 439 x 509 = 3957764112

Therefore, the lowest common multiple of 984,432,878,509 is 3957764112.

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 432 x 878 x 509 = 189972677376

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

878 : 1, 2, 439, 878

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,432,878,509, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

432:2x 2x 2x 2x 3x 3x 3

878:2x 439

509:509

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 3 = 48

Therefore, the value for common factors is 48.

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 = 189972677376/(1x48)

LCM = 189972677376/48

LCM = 3957764112

Thus, we can understand that the LCM of 984,432,878,509 is 3957764112.

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

• LCM of 741, 564, 915, 679
• LCM of 830, 191, 288, 231
• LCM of 373, 991, 491, 341
• LCM of 152, 427, 481, 587
• LCM of 685, 829, 742, 780

1. What is the LCM of 984, 432, 878, 509?

Answer: LCM of 984, 432, 878, 509 is 3957764112.

2. How to calculate the LCM of 984, 432, 878, 509?

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, 432, 878, 509.

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}.