Given numbers are 210,521,914,214

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

The LCM of 210,521,914,214 is 5350039590.

Find LCM of 210,521,914,214 with Prime Factorization

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

2 x 105 x 521 x 457 x 107 = 5350039590

Therefore, the lowest common multiple of 210,521,914,214 is 5350039590.

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.

210 x 521 x 914 x 214 = 21400158360

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

521 : 1, 521

914 : 1, 2, 457, 914

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,521,914,214, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

521:521

914:2x 457

214:2x 107

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 = 21400158360/(1x4)

LCM = 21400158360/4

LCM = 5350039590

Thus, we can understand that the LCM of 210,521,914,214 is 5350039590.

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

• LCM of 855, 807, 434, 861
• LCM of 377, 140, 260, 389
• LCM of 472, 367, 814, 607
• LCM of 271, 322, 244, 243
• LCM of 729, 829, 502, 762

1. What is the LCM of 210, 521, 914, 214?

Answer: LCM of 210, 521, 914, 214 is 5350039590.

2. How to calculate the LCM of 210, 521, 914, 214?

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 210, 521, 914, 214.

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}.