Given numbers are 986,510,828,232

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

The LCM of 986,510,828,232 is 4082040.

Find LCM of 986,510,828,232 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 1 x 5 x 69 x 2 = 4082040

Therefore, the lowest common multiple of 986,510,828,232 is 4082040.

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.

986 x 510 x 828 x 232 = 96597394560

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,510,828,232, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

510:2x 3x 5x 17

828:2x 2x 3x 3x 23

232:2x 2x 2x 29

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 3x 17x 29 = 11832

Therefore, the value for common factors is 11832.

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 = 96597394560/(2x11832)

LCM = 96597394560/23664

LCM = 4082040

Thus, we can understand that the LCM of 986,510,828,232 is 4082040.

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

• LCM of 805, 531, 320, 291
• LCM of 647, 959, 250, 985
• LCM of 474, 127, 775, 766
• LCM of 723, 189, 192, 258
• LCM of 178, 489, 854, 852

1. What is the LCM of 986, 510, 828, 232?

Answer: LCM of 986, 510, 828, 232 is 4082040.

2. How to calculate the LCM of 986, 510, 828, 232?

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 986, 510, 828, 232.

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}.