Given numbers are 678,103,974,311,673

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

The LCM of 678,103,974,311,673 is 7118218796874.

Find LCM of 678,103,974,311,673 with Prime Factorization

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

2 x 339 x 103 x 487 x 311 x 673 = 7118218796874

Therefore, the lowest common multiple of 678,103,974,311,673 is 7118218796874.

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 103 x 974 x 311 x 673 = 14236437593748

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

103 : 1, 103

974 : 1, 2, 487, 974

311 : 1, 311

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,103,974,311,673, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

103:103

974:2x 487

311:311

673:673

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14236437593748/(1x2)

LCM = 14236437593748/2

LCM = 7118218796874

Thus, we can understand that the LCM of 678,103,974,311,673 is 7118218796874.

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

• LCM of 239, 978, 645, 915, 120
• LCM of 470, 992, 670, 949, 856
• LCM of 243, 896, 192, 331, 332
• LCM of 136, 809, 191, 217, 288
• LCM of 855, 519, 613, 620, 715

1. What is the LCM of 678, 103, 974, 311, 673?

Answer: LCM of 678, 103, 974, 311, 673 is 7118218796874.

2. How to calculate the LCM of 678, 103, 974, 311, 673?

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, 103, 974, 311, 673.

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}.