Given numbers are 676,169,822,816

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

The LCM of 676,169,822,816 is 18892848.

Find LCM of 676,169,822,816 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 1 x 1 x 137 x 68 = 18892848

Therefore, the lowest common multiple of 676,169,822,816 is 18892848.

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 169 x 822 x 816 = 76629391488

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

169 : 1, 13, 169

822 : 1, 2, 3, 6, 137, 274, 411, 822

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,169,822,816, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

169:13x 13

822:2x 3x 137

816:2x 2x 2x 2x 3x 17

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 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 76629391488/(1x4056)

LCM = 76629391488/4056

LCM = 18892848

Thus, we can understand that the LCM of 676,169,822,816 is 18892848.

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

• LCM of 550, 144, 111, 500
• LCM of 181, 479, 822, 600
• LCM of 265, 826, 363, 153
• LCM of 356, 714, 465, 594
• LCM of 659, 932, 502, 310

1. What is the LCM of 676, 169, 822, 816?

Answer: LCM of 676, 169, 822, 816 is 18892848.

2. How to calculate the LCM of 676, 169, 822, 816?

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, 169, 822, 816.

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}.