Given numbers are 678,422,340,466

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

The LCM of 678,422,340,466 is 5666527380.

Find LCM of 678,422,340,466 with Prime Factorization

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

2 x 339 x 211 x 170 x 233 = 5666527380

Therefore, the lowest common multiple of 678,422,340,466 is 5666527380.

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 422 x 340 x 466 = 45332219040

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

422 : 1, 2, 211, 422

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

466 : 1, 2, 233, 466

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,422,340,466, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

422:2x 211

340:2x 2x 5x 17

466:2x 233

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 = 45332219040/(2x4)

LCM = 45332219040/8

LCM = 5666527380

Thus, we can understand that the LCM of 678,422,340,466 is 5666527380.

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

• LCM of 821, 769, 140, 728
• LCM of 898, 357, 244, 141
• LCM of 846, 296, 105, 798
• LCM of 867, 386, 257, 413
• LCM of 138, 598, 814, 716

1. What is the LCM of 678, 422, 340, 466?

Answer: LCM of 678, 422, 340, 466 is 5666527380.

2. How to calculate the LCM of 678, 422, 340, 466?

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, 422, 340, 466.

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}.