Given numbers are 987,489,828,900

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

The LCM of 987,489,828,900 is 1110078900.

Find LCM of 987,489,828,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 329 x 163 x 23 x 25 = 1110078900

Therefore, the lowest common multiple of 987,489,828,900 is 1110078900.

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.

987 x 489 x 828 x 900 = 359665563600

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

489 : 1, 3, 163, 489

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,489,828,900, is 3.

Now, the common factors can be found like this.

987:3x 7x 47

489:3x 163

828:2x 2x 3x 3x 23

900:2x 2x 3x 3x 5x 5

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 359665563600/(3x108)

LCM = 359665563600/324

LCM = 1110078900

Thus, we can understand that the LCM of 987,489,828,900 is 1110078900.

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

• LCM of 661, 459, 651, 719
• LCM of 868, 723, 956, 254
• LCM of 537, 262, 434, 142
• LCM of 395, 436, 993, 606
• LCM of 180, 812, 701, 538

1. What is the LCM of 987, 489, 828, 900?

Answer: LCM of 987, 489, 828, 900 is 1110078900.

2. How to calculate the LCM of 987, 489, 828, 900?

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 987, 489, 828, 900.

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}.