Given numbers are 678,374,357,969,701

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

The LCM of 678,374,357,969,701 is 11820639138.

Find LCM of 678,374,357,969,701 with Prime Factorization

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

2 x 3 x 17 x 113 x 11 x 7 x 19 x 701 = 11820639138

Therefore, the lowest common multiple of 678,374,357,969,701 is 11820639138.

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 374 x 357 x 969 x 701 = 61490964795876

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,374,357,969,701, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

374:2x 11x 17

357:3x 7x 17

969:3x 17x 19

701:701

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

2x 3x 3x 17x 17 = 5202

Therefore, the value for common factors is 5202.

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 = 61490964795876/(1x5202)

LCM = 61490964795876/5202

LCM = 11820639138

Thus, we can understand that the LCM of 678,374,357,969,701 is 11820639138.

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

• LCM of 909, 476, 754, 572, 343
• LCM of 327, 219, 111, 388, 273
• LCM of 545, 732, 253, 682, 700
• LCM of 304, 388, 174, 369, 442
• LCM of 989, 539, 119, 570, 624

1. What is the LCM of 678, 374, 357, 969, 701?

Answer: LCM of 678, 374, 357, 969, 701 is 11820639138.

2. How to calculate the LCM of 678, 374, 357, 969, 701?

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, 374, 357, 969, 701.

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}.