Given numbers are 247,428,208,362

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

The LCM of 247,428,208,362 is 76538384.

Find LCM of 247,428,208,362 with Prime Factorization

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

2 x 2 x 13 x 19 x 107 x 4 x 181 = 76538384

Therefore, the lowest common multiple of 247,428,208,362 is 76538384.

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.

247 x 428 x 208 x 362 = 7959991936

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.

247 : 1, 13, 19, 247

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,428,208,362, is 1.

Now, the common factors can be found like this.

247:13x 19

428:2x 2x 107

208:2x 2x 2x 2x 13

362:2x 181

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 13 = 104

Therefore, the value for common factors is 104.

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 = 7959991936/(1x104)

LCM = 7959991936/104

LCM = 76538384

Thus, we can understand that the LCM of 247,428,208,362 is 76538384.

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

• LCM of 241, 594, 441, 842
• LCM of 141, 349, 909, 559
• LCM of 219, 667, 255, 546
• LCM of 449, 549, 300, 531
• LCM of 810, 300, 701, 573

1. What is the LCM of 247, 428, 208, 362?

Answer: LCM of 247, 428, 208, 362 is 76538384.

2. How to calculate the LCM of 247, 428, 208, 362?

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 247, 428, 208, 362.

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}.