Given numbers are 680,338,814,880

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

The LCM of 680,338,814,880 is 93544880.

Find LCM of 680,338,814,880 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 17 x 169 x 37 x 2 = 93544880

Therefore, the lowest common multiple of 680,338,814,880 is 93544880.

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.

680 x 338 x 814 x 880 = 164638988800

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

338 : 1, 2, 13, 26, 169, 338

814 : 1, 2, 11, 22, 37, 74, 407, 814

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 680,338,814,880, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

338:2x 13x 13

814:2x 11x 37

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 = 164638988800/(2x880)

LCM = 164638988800/1760

LCM = 93544880

Thus, we can understand that the LCM of 680,338,814,880 is 93544880.

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

• LCM of 677, 472, 111, 919
• LCM of 850, 983, 279, 858
• LCM of 123, 654, 427, 431
• LCM of 789, 232, 544, 710
• LCM of 210, 790, 919, 355

1. What is the LCM of 680, 338, 814, 880?

Answer: LCM of 680, 338, 814, 880 is 93544880.

2. How to calculate the LCM of 680, 338, 814, 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 680, 338, 814, 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}.