Given numbers are 677,800,248,414

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

The LCM of 677,800,248,414 is 3475447200.

Find LCM of 677,800,248,414 with Prime Factorization

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

2 x 2 x 2 x 677 x 100 x 31 x 207 = 3475447200

Therefore, the lowest common multiple of 677,800,248,414 is 3475447200.

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.

677 x 800 x 248 x 414 = 55607155200

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.

677 : 1, 677

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

248 : 1, 2, 4, 8, 31, 62, 124, 248

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,800,248,414, is 1.

Now, the common factors can be found like this.

677:677

800:2x 2x 2x 2x 2x 5x 5

248:2x 2x 2x 31

414:2x 3x 3x 23

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 55607155200/(1x16)

LCM = 55607155200/16

LCM = 3475447200

Thus, we can understand that the LCM of 677,800,248,414 is 3475447200.

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

• LCM of 360, 260, 977, 352
• LCM of 972, 123, 661, 239
• LCM of 112, 918, 662, 743
• LCM of 420, 257, 688, 833
• LCM of 676, 716, 543, 101

1. What is the LCM of 677, 800, 248, 414?

Answer: LCM of 677, 800, 248, 414 is 3475447200.

2. How to calculate the LCM of 677, 800, 248, 414?

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 677, 800, 248, 414.

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}.