Given numbers are 770,286,688,880,687

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

The LCM of 770,286,688,880,687 is 2365643280.

Find LCM of 770,286,688,880,687 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 11 x 7 x 13 x 43 x 1 x 687 = 2365643280

Therefore, the lowest common multiple of 770,286,688,880,687 is 2365643280.

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.

770 x 286 x 688 x 880 x 687 = 91597707801600

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

286 : 1, 2, 11, 13, 22, 26, 143, 286

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,286,688,880,687, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

286:2x 11x 13

688:2x 2x 2x 2x 43

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

687:3x 229

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 2x 2x 5x 11x 11 = 38720

Therefore, the value for common factors is 38720.

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 = 91597707801600/(1x38720)

LCM = 91597707801600/38720

LCM = 2365643280

Thus, we can understand that the LCM of 770,286,688,880,687 is 2365643280.

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

• LCM of 794, 875, 719, 412, 188
• LCM of 609, 188, 982, 124, 551
• LCM of 940, 445, 816, 321, 350
• LCM of 240, 164, 894, 735, 119
• LCM of 882, 318, 713, 823, 805

1. What is the LCM of 770, 286, 688, 880, 687?

Answer: LCM of 770, 286, 688, 880, 687 is 2365643280.

2. How to calculate the LCM of 770, 286, 688, 880, 687?

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 770, 286, 688, 880, 687.

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}.