Given numbers are 288,130,523

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

The LCM of 288,130,523 is 9790560.

Find LCM of 288,130,523 with Prime Factorization

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

2 x 144 x 65 x 523 = 9790560

Therefore, the lowest common multiple of 288,130,523 is 9790560.

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.

288 x 130 x 523 = 19581120

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.

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,130,523, is 1.

Now, the common factors can be found like this.

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

130:2x 5x 13

523:523

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 = 19581120/(1x2)

LCM = 19581120/2

LCM = 9790560

Thus, we can understand that the LCM of 288,130,523 is 9790560.

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

• LCM of 550, 153, 483
• LCM of 147, 304, 450
• LCM of 908, 380, 329
• LCM of 551, 319, 759
• LCM of 971, 886, 466

1. What is the LCM of 288, 130, 523?

Answer: LCM of 288, 130, 523 is 9790560.

2. How to calculate the LCM of 288, 130, 523?

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 288, 130, 523.

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}.