Given numbers are 235,122,688,986,464

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

The LCM of 235,122,688,986,464 is 4862202640.

Find LCM of 235,122,688,986,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 235 x 61 x 43 x 17 x 1 = 4862202640

Therefore, the lowest common multiple of 235,122,688,986,464 is 4862202640.

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.

235 x 122 x 688 x 986 x 464 = 9024248099840

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.

235 : 1, 5, 47, 235

122 : 1, 2, 61, 122

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,122,688,986,464, is 1.

Now, the common factors can be found like this.

235:5x 47

122:2x 61

688:2x 2x 2x 2x 43

986:2x 17x 29

464:2x 2x 2x 2x 29

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 29 = 1856

Therefore, the value for common factors is 1856.

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 = 9024248099840/(1x1856)

LCM = 9024248099840/1856

LCM = 4862202640

Thus, we can understand that the LCM of 235,122,688,986,464 is 4862202640.

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

• LCM of 506, 468, 774, 313, 190
• LCM of 211, 455, 274, 195, 200
• LCM of 843, 898, 384, 389, 550
• LCM of 773, 628, 616, 591, 571
• LCM of 343, 218, 420, 671, 527

1. What is the LCM of 235, 122, 688, 986, 464?

Answer: LCM of 235, 122, 688, 986, 464 is 4862202640.

2. How to calculate the LCM of 235, 122, 688, 986, 464?

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 235, 122, 688, 986, 464.

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}.