Given numbers are 466,121,676,678

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

The LCM of 466,121,676,678 is 6460820652.

Find LCM of 466,121,676,678 with Prime Factorization

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

2 x 233 x 121 x 338 x 339 = 6460820652

Therefore, the lowest common multiple of 466,121,676,678 is 6460820652.

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.

466 x 121 x 676 x 678 = 25843282608

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.

466 : 1, 2, 233, 466

121 : 1, 11, 121

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,121,676,678, is 1.

Now, the common factors can be found like this.

466:2x 233

121:11x 11

676:2x 2x 13x 13

678:2x 3x 113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25843282608/(1x4)

LCM = 25843282608/4

LCM = 6460820652

Thus, we can understand that the LCM of 466,121,676,678 is 6460820652.

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

• LCM of 725, 606, 405, 146
• LCM of 141, 161, 312, 702
• LCM of 810, 665, 965, 223
• LCM of 119, 869, 910, 417
• LCM of 700, 722, 119, 472

1. What is the LCM of 466, 121, 676, 678?

Answer: LCM of 466, 121, 676, 678 is 6460820652.

2. How to calculate the LCM of 466, 121, 676, 678?

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 466, 121, 676, 678.

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}.