Given numbers are 514,261,298,677

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

The LCM of 514,261,298,677 is 13532516442.

Find LCM of 514,261,298,677 with Prime Factorization

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

2 x 257 x 261 x 149 x 677 = 13532516442

Therefore, the lowest common multiple of 514,261,298,677 is 13532516442.

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.

514 x 261 x 298 x 677 = 27065032884

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.

514 : 1, 2, 257, 514

261 : 1, 3, 9, 29, 87, 261

298 : 1, 2, 149, 298

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,261,298,677, is 1.

Now, the common factors can be found like this.

514:2x 257

261:3x 3x 29

298:2x 149

677:677

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 = 27065032884/(1x2)

LCM = 27065032884/2

LCM = 13532516442

Thus, we can understand that the LCM of 514,261,298,677 is 13532516442.

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

• LCM of 184, 246, 702, 321
• LCM of 560, 907, 999, 536
• LCM of 500, 856, 974, 100
• LCM of 125, 637, 601, 342
• LCM of 214, 123, 167, 241

1. What is the LCM of 514, 261, 298, 677?

Answer: LCM of 514, 261, 298, 677 is 13532516442.

2. How to calculate the LCM of 514, 261, 298, 677?

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 514, 261, 298, 677.

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}.