Given numbers are 676,164,990,880

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

The LCM of 676,164,990,880 is 54877680.

Find LCM of 676,164,990,880 with Prime Factorization

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

2 x 2 x 5 x 11 x 169 x 41 x 9 x 4 = 54877680

Therefore, the lowest common multiple of 676,164,990,880 is 54877680.

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.

676 x 164 x 990 x 880 = 96584716800

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

164 : 1, 2, 4, 41, 82, 164

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,164,990,880, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

164:2x 2x 41

990:2x 3x 3x 5x 11

880:2x 2x 2x 2x 5x 11

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 96584716800/(2x880)

LCM = 96584716800/1760

LCM = 54877680

Thus, we can understand that the LCM of 676,164,990,880 is 54877680.

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

• LCM of 475, 131, 219, 289
• LCM of 384, 738, 366, 399
• LCM of 253, 393, 786, 136
• LCM of 326, 367, 908, 660
• LCM of 340, 108, 820, 973

1. What is the LCM of 676, 164, 990, 880?

Answer: LCM of 676, 164, 990, 880 is 54877680.

2. How to calculate the LCM of 676, 164, 990, 880?

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 676, 164, 990, 880.

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}.