Given numbers are 214,508,762,625

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

The LCM of 214,508,762,625 is 101917500.

Find LCM of 214,508,762,625 with Prime Factorization

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

2 x 127 x 107 x 2 x 3 x 625 = 101917500

Therefore, the lowest common multiple of 214,508,762,625 is 101917500.

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 508 x 762 x 625 = 51774090000

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

508 : 1, 2, 4, 127, 254, 508

762 : 1, 2, 3, 6, 127, 254, 381, 762

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,508,762,625, is 1.

Now, the common factors can be found like this.

214:2x 107

508:2x 2x 127

762:2x 3x 127

625:5x 5x 5x 5

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 127 = 508

Therefore, the value for common factors is 508.

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 = 51774090000/(1x508)

LCM = 51774090000/508

LCM = 101917500

Thus, we can understand that the LCM of 214,508,762,625 is 101917500.

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

• LCM of 185, 342, 232, 147
• LCM of 984, 219, 930, 122
• LCM of 683, 528, 934, 842
• LCM of 909, 794, 783, 756
• LCM of 458, 677, 535, 285

1. What is the LCM of 214, 508, 762, 625?

Answer: LCM of 214, 508, 762, 625 is 101917500.

2. How to calculate the LCM of 214, 508, 762, 625?

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, 508, 762, 625.

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}.