Given numbers are 830,212,522,598,750

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

The LCM of 830,212,522,598,750 is 171646780500.

Find LCM of 830,212,522,598,750 with Prime Factorization

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

2 x 3 x 5 x 83 x 106 x 87 x 299 x 25 = 171646780500

Therefore, the lowest common multiple of 830,212,522,598,750 is 171646780500.

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.

830 x 212 x 522 x 598 x 750 = 41195227320000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

212 : 1, 2, 4, 53, 106, 212

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,212,522,598,750, is 2.

Now, the common factors can be found like this.

830:2x 5x 83

212:2x 2x 53

522:2x 3x 3x 29

598:2x 13x 23

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 5 = 120

Therefore, the value for common factors is 120.

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 = 41195227320000/(2x120)

LCM = 41195227320000/240

LCM = 171646780500

Thus, we can understand that the LCM of 830,212,522,598,750 is 171646780500.

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

• LCM of 620, 708, 891, 754, 940
• LCM of 788, 693, 203, 144, 496
• LCM of 906, 172, 240, 707, 872
• LCM of 976, 903, 817, 332, 262
• LCM of 784, 437, 206, 669, 817

1. What is the LCM of 830, 212, 522, 598, 750?

Answer: LCM of 830, 212, 522, 598, 750 is 171646780500.

2. How to calculate the LCM of 830, 212, 522, 598, 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 830, 212, 522, 598, 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}.