Given numbers are 285,624,397

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

The LCM of 285,624,397 is 23534160.

Find LCM of 285,624,397 with Prime Factorization

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

3 x 95 x 208 x 397 = 23534160

Therefore, the lowest common multiple of 285,624,397 is 23534160.

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.

285 x 624 x 397 = 70602480

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,624,397, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

624:2x 2x 2x 2x 3x 13

397:397

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

3 = 3

Therefore, the value for common factors is 3.

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 = 70602480/(1x3)

LCM = 70602480/3

LCM = 23534160

Thus, we can understand that the LCM of 285,624,397 is 23534160.

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

• LCM of 682, 502, 671
• LCM of 744, 406, 290
• LCM of 142, 156, 287
• LCM of 160, 898, 467
• LCM of 739, 598, 229

1. What is the LCM of 285, 624, 397?

Answer: LCM of 285, 624, 397 is 23534160.

2. How to calculate the LCM of 285, 624, 397?

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 285, 624, 397.

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}.