Given numbers are 214,507,299,414

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

The LCM of 214,507,299,414 is 7486362.

Find LCM of 214,507,299,414 with Prime Factorization

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

2 x 3 x 13 x 23 x 107 x 13 x 1 x 3 = 7486362

Therefore, the lowest common multiple of 214,507,299,414 is 7486362.

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 507 x 299 x 414 = 13430533428

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

507 : 1, 3, 13, 39, 169, 507

299 : 1, 13, 23, 299

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 214,507,299,414, is 1.

Now, the common factors can be found like this.

214:2x 107

507:3x 13x 13

299:13x 23

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 3x 13x 23 = 1794

Therefore, the value for common factors is 1794.

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 = 13430533428/(1x1794)

LCM = 13430533428/1794

LCM = 7486362

Thus, we can understand that the LCM of 214,507,299,414 is 7486362.

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

• LCM of 382, 470, 447, 161
• LCM of 296, 919, 147, 106
• LCM of 265, 776, 931, 925
• LCM of 654, 579, 573, 346
• LCM of 918, 979, 640, 846

1. What is the LCM of 214, 507, 299, 414?

Answer: LCM of 214, 507, 299, 414 is 7486362.

2. How to calculate the LCM of 214, 507, 299, 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 214, 507, 299, 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}.