Given numbers are 7,605,288,214

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

The LCM of 7,605,288,214 is 130505760.

Find LCM of 7,605,288,214 with Prime Factorization

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

2 x 7 x 605 x 144 x 107 = 130505760

Therefore, the lowest common multiple of 7,605,288,214 is 130505760.

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.

7 x 605 x 288 x 214 = 261011520

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.

7 : 1, 7

605 : 1, 5, 11, 55, 121, 605

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,605,288,214, is 1.

Now, the common factors can be found like this.

7:7

605:5x 11x 11

288:2x 2x 2x 2x 2x 3x 3

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.

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 = 261011520/(1x2)

LCM = 261011520/2

LCM = 130505760

Thus, we can understand that the LCM of 7,605,288,214 is 130505760.

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

• LCM of 1, 359, 470, 459
• LCM of 6, 510, 218, 205
• LCM of 4, 540, 423, 980
• LCM of 1, 410, 579, 455
• LCM of 1, 706, 955, 696

1. What is the LCM of 7, 605, 288, 214?

Answer: LCM of 7, 605, 288, 214 is 130505760.

2. How to calculate the LCM of 7, 605, 288, 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 7, 605, 288, 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}.