Given numbers are 238,317,282,484

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

The LCM of 238,317,282,484 is 2574368412.

Find LCM of 238,317,282,484 with Prime Factorization

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

2 x 119 x 317 x 141 x 242 = 2574368412

Therefore, the lowest common multiple of 238,317,282,484 is 2574368412.

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.

238 x 317 x 282 x 484 = 10297473648

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

317 : 1, 317

282 : 1, 2, 3, 6, 47, 94, 141, 282

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,317,282,484, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

317:317

282:2x 3x 47

484:2x 2x 11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10297473648/(1x4)

LCM = 10297473648/4

LCM = 2574368412

Thus, we can understand that the LCM of 238,317,282,484 is 2574368412.

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

• LCM of 289, 895, 597, 585
• LCM of 269, 679, 143, 255
• LCM of 248, 675, 813, 415
• LCM of 922, 107, 439, 439
• LCM of 785, 638, 433, 349

1. What is the LCM of 238, 317, 282, 484?

Answer: LCM of 238, 317, 282, 484 is 2574368412.

2. How to calculate the LCM of 238, 317, 282, 484?

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 238, 317, 282, 484.

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}.