Given numbers are 214,682,677,521

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

The LCM of 214,682,677,521 is 25739170358.

Find LCM of 214,682,677,521 with Prime Factorization

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

2 x 107 x 341 x 677 x 521 = 25739170358

Therefore, the lowest common multiple of 214,682,677,521 is 25739170358.

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.

214 x 682 x 677 x 521 = 51478340716

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.

214 : 1, 2, 107, 214

682 : 1, 2, 11, 22, 31, 62, 341, 682

677 : 1, 677

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,682,677,521, is 1.

Now, the common factors can be found like this.

214:2x 107

682:2x 11x 31

677:677

521:521

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 = 51478340716/(1x2)

LCM = 51478340716/2

LCM = 25739170358

Thus, we can understand that the LCM of 214,682,677,521 is 25739170358.

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

• LCM of 454, 267, 803, 810
• LCM of 505, 784, 906, 809
• LCM of 208, 718, 633, 668
• LCM of 117, 350, 321, 494
• LCM of 717, 959, 273, 224

1. What is the LCM of 214, 682, 677, 521?

Answer: LCM of 214, 682, 677, 521 is 25739170358.

2. How to calculate the LCM of 214, 682, 677, 521?

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 214, 682, 677, 521.

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}.