Given numbers are 510,828,750,377,690

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

The LCM of 510,828,750,377,690 is 663331500.

Find LCM of 510,828,750,377,690 with Prime Factorization

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

2 x 3 x 5 x 23 x 17 x 6 x 25 x 377 x 1 = 663331500

Therefore, the lowest common multiple of 510,828,750,377,690 is 663331500.

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 828 x 750 x 377 x 690 = 82385772300000

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

377 : 1, 13, 29, 377

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,828,750,377,690, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

828:2x 2x 3x 3x 23

750:2x 3x 5x 5x 5

377:13x 29

690:2x 3x 5x 23

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 3x 5x 5x 23 = 124200

Therefore, the value for common factors is 124200.

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 = 82385772300000/(1x124200)

LCM = 82385772300000/124200

LCM = 663331500

Thus, we can understand that the LCM of 510,828,750,377,690 is 663331500.

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

• LCM of 914, 216, 533, 984, 985
• LCM of 569, 503, 505, 323, 324
• LCM of 511, 612, 673, 177, 817
• LCM of 100, 378, 390, 237, 894
• LCM of 272, 817, 977, 999, 402

1. What is the LCM of 510, 828, 750, 377, 690?

Answer: LCM of 510, 828, 750, 377, 690 is 663331500.

2. How to calculate the LCM of 510, 828, 750, 377, 690?

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, 828, 750, 377, 690.

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}.