Given numbers are 510,533,260,330,750

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

The LCM of 510,533,260,330,750 is 149506500.

Find LCM of 510,533,260,330,750 with Prime Factorization

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

2 x 3 x 5 x 13 x 17 x 41 x 2 x 11 x 25 = 149506500

Therefore, the lowest common multiple of 510,533,260,330,750 is 149506500.

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.

510 x 533 x 260 x 330 x 750 = 17492260500000

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

533 : 1, 13, 41, 533

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,533,260,330,750, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

533:13x 41

260:2x 2x 5x 13

330:2x 3x 5x 11

750:2x 3x 5x 5x 5

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 3x 3x 5x 5x 5x 13 = 117000

Therefore, the value for common factors is 117000.

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 = 17492260500000/(1x117000)

LCM = 17492260500000/117000

LCM = 149506500

Thus, we can understand that the LCM of 510,533,260,330,750 is 149506500.

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

• LCM of 745, 360, 159, 435, 866
• LCM of 316, 107, 755, 130, 590
• LCM of 166, 853, 552, 645, 868
• LCM of 412, 525, 178, 834, 681
• LCM of 377, 550, 365, 931, 397

1. What is the LCM of 510, 533, 260, 330, 750?

Answer: LCM of 510, 533, 260, 330, 750 is 149506500.

2. How to calculate the LCM of 510, 533, 260, 330, 750?

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 510, 533, 260, 330, 750.

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}.