Given numbers are 600,470,582,195,496

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

The LCM of 600,470,582,195,496 is 2204732400.

Find LCM of 600,470,582,195,496 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 47 x 97 x 13 x 62 = 2204732400

Therefore, the lowest common multiple of 600,470,582,195,496 is 2204732400.

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.

600 x 470 x 582 x 195 x 496 = 15874073280000

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

470 : 1, 2, 5, 10, 47, 94, 235, 470

582 : 1, 2, 3, 6, 97, 194, 291, 582

195 : 1, 3, 5, 13, 15, 39, 65, 195

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,470,582,195,496, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

470:2x 5x 47

582:2x 3x 97

195:3x 5x 13

496:2x 2x 2x 2x 31

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 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 15874073280000/(1x7200)

LCM = 15874073280000/7200

LCM = 2204732400

Thus, we can understand that the LCM of 600,470,582,195,496 is 2204732400.

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

• LCM of 705, 510, 895, 647, 382
• LCM of 871, 772, 284, 617, 496
• LCM of 178, 748, 320, 126, 940
• LCM of 537, 209, 870, 157, 488
• LCM of 641, 285, 173, 772, 627

1. What is the LCM of 600, 470, 582, 195, 496?

Answer: LCM of 600, 470, 582, 195, 496 is 2204732400.

2. How to calculate the LCM of 600, 470, 582, 195, 496?

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 600, 470, 582, 195, 496.

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}.