Given numbers are 242,536,428,380,215

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

The LCM of 242,536,428,380,215 is 28348233320.

Find LCM of 242,536,428,380,215 with Prime Factorization

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

2 x 2 x 5 x 121 x 134 x 107 x 19 x 43 = 28348233320

Therefore, the lowest common multiple of 242,536,428,380,215 is 28348233320.

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.

242 x 536 x 428 x 380 x 215 = 4535717331200

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.

242 : 1, 2, 11, 22, 121, 242

536 : 1, 2, 4, 8, 67, 134, 268, 536

428 : 1, 2, 4, 107, 214, 428

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,536,428,380,215, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

536:2x 2x 2x 67

428:2x 2x 107

380:2x 2x 5x 19

215:5x 43

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 4535717331200/(1x160)

LCM = 4535717331200/160

LCM = 28348233320

Thus, we can understand that the LCM of 242,536,428,380,215 is 28348233320.

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

• LCM of 828, 934, 288, 295, 250
• LCM of 134, 106, 903, 508, 981
• LCM of 689, 197, 652, 150, 308
• LCM of 884, 992, 256, 280, 311
• LCM of 777, 847, 662, 422, 834

1. What is the LCM of 242, 536, 428, 380, 215?

Answer: LCM of 242, 536, 428, 380, 215 is 28348233320.

2. How to calculate the LCM of 242, 536, 428, 380, 215?

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 242, 536, 428, 380, 215.

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}.