Given numbers are 770,504,688,982,112

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

The LCM of 770,504,688,982,112 is 1170504720.

Find LCM of 770,504,688,982,112 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 55 x 9 x 43 x 491 x 1 = 1170504720

Therefore, the lowest common multiple of 770,504,688,982,112 is 1170504720.

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 504 x 688 x 982 x 112 = 29365622415360

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

982 : 1, 2, 491, 982

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,504,688,982,112, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

504:2x 2x 2x 3x 3x 7

688:2x 2x 2x 2x 43

982:2x 491

112:2x 2x 2x 2x 7

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 2x 2x 7x 7 = 12544

Therefore, the value for common factors is 12544.

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 = 29365622415360/(2x12544)

LCM = 29365622415360/25088

LCM = 1170504720

Thus, we can understand that the LCM of 770,504,688,982,112 is 1170504720.

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

• LCM of 172, 501, 814, 421, 251
• LCM of 109, 221, 948, 693, 214
• LCM of 819, 783, 820, 742, 283
• LCM of 950, 203, 552, 807, 443
• LCM of 935, 610, 601, 809, 235

1. What is the LCM of 770, 504, 688, 982, 112?

Answer: LCM of 770, 504, 688, 982, 112 is 1170504720.

2. How to calculate the LCM of 770, 504, 688, 982, 112?

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, 504, 688, 982, 112.

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}.