Given numbers are 597,288,239,760

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

The LCM of 597,288,239,760 is 1301268960.

Find LCM of 597,288,239,760 with Prime Factorization

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

2 x 2 x 2 x 3 x 199 x 12 x 239 x 95 = 1301268960

Therefore, the lowest common multiple of 597,288,239,760 is 1301268960.

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.

597 x 288 x 239 x 760 = 31230455040

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.

597 : 1, 3, 199, 597

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

239 : 1, 239

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,288,239,760, is 1.

Now, the common factors can be found like this.

597:3x 199

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

239:239

760:2x 2x 2x 5x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 31230455040/(1x24)

LCM = 31230455040/24

LCM = 1301268960

Thus, we can understand that the LCM of 597,288,239,760 is 1301268960.

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

• LCM of 631, 546, 997, 255
• LCM of 200, 533, 684, 140
• LCM of 829, 558, 594, 602
• LCM of 686, 918, 360, 479
• LCM of 632, 905, 385, 513

1. What is the LCM of 597, 288, 239, 760?

Answer: LCM of 597, 288, 239, 760 is 1301268960.

2. How to calculate the LCM of 597, 288, 239, 760?

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 597, 288, 239, 760.

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}.