Given numbers are 788,912,492,286,684

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

The LCM of 788,912,492,286,684 is 3160110096.

Find LCM of 788,912,492,286,684 with Prime Factorization

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

2 x 2 x 3 x 19 x 197 x 4 x 41 x 143 x 3 = 3160110096

Therefore, the lowest common multiple of 788,912,492,286,684 is 3160110096.

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.

788 x 912 x 492 x 286 x 684 = 69168489781248

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.

788 : 1, 2, 4, 197, 394, 788

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,912,492,286,684, is 2.

Now, the common factors can be found like this.

788:2x 2x 197

912:2x 2x 2x 2x 3x 19

492:2x 2x 3x 41

286:2x 11x 13

684:2x 2x 3x 3x 19

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 3x 3x 19 = 10944

Therefore, the value for common factors is 10944.

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 = 69168489781248/(2x10944)

LCM = 69168489781248/21888

LCM = 3160110096

Thus, we can understand that the LCM of 788,912,492,286,684 is 3160110096.

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

• LCM of 465, 366, 238, 177, 525
• LCM of 147, 796, 816, 221, 217
• LCM of 785, 734, 383, 624, 493
• LCM of 468, 172, 559, 145, 927
• LCM of 327, 936, 404, 723, 682

1. What is the LCM of 788, 912, 492, 286, 684?

Answer: LCM of 788, 912, 492, 286, 684 is 3160110096.

2. How to calculate the LCM of 788, 912, 492, 286, 684?

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 788, 912, 492, 286, 684.

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}.