Given numbers are 678,969,357,633,289

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

The LCM of 678,969,357,633,289 is 5498720346.

Find LCM of 678,969,357,633,289 with Prime Factorization

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

3 x 17 x 226 x 19 x 7 x 211 x 17 = 5498720346

Therefore, the lowest common multiple of 678,969,357,633,289 is 5498720346.

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.

678 x 969 x 357 x 633 x 289 = 42906514859838

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

969 : 1, 3, 17, 19, 51, 57, 323, 969

357 : 1, 3, 7, 17, 21, 51, 119, 357

633 : 1, 3, 211, 633

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,969,357,633,289, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

969:3x 17x 19

357:3x 7x 17

633:3x 211

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 17x 17 = 7803

Therefore, the value for common factors is 7803.

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 = 42906514859838/(1x7803)

LCM = 42906514859838/7803

LCM = 5498720346

Thus, we can understand that the LCM of 678,969,357,633,289 is 5498720346.

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

• LCM of 406, 245, 875, 961, 839
• LCM of 899, 766, 544, 377, 516
• LCM of 120, 648, 431, 814, 269
• LCM of 705, 144, 896, 546, 203
• LCM of 275, 425, 209, 235, 927

1. What is the LCM of 678, 969, 357, 633, 289?

Answer: LCM of 678, 969, 357, 633, 289 is 5498720346.

2. How to calculate the LCM of 678, 969, 357, 633, 289?

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 678, 969, 357, 633, 289.

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}.