Given numbers are 330,830,532,900,841

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

The LCM of 330,830,532,900,841 is 91909610100.

Find LCM of 330,830,532,900,841 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 83 x 133 x 15 x 841 = 91909610100

Therefore, the lowest common multiple of 330,830,532,900,841 is 91909610100.

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.

330 x 830 x 532 x 900 x 841 = 110291532120000

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.

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

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,830,532,900,841, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

830:2x 5x 83

532:2x 2x 7x 19

900:2x 2x 3x 3x 5x 5

841:29x 29

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 110291532120000/(1x1200)

LCM = 110291532120000/1200

LCM = 91909610100

Thus, we can understand that the LCM of 330,830,532,900,841 is 91909610100.

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

• LCM of 235, 445, 952, 934, 237
• LCM of 757, 519, 261, 945, 473
• LCM of 110, 329, 661, 927, 255
• LCM of 799, 868, 989, 166, 493
• LCM of 791, 822, 566, 142, 913

1. What is the LCM of 330, 830, 532, 900, 841?

Answer: LCM of 330, 830, 532, 900, 841 is 91909610100.

2. How to calculate the LCM of 330, 830, 532, 900, 841?

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 330, 830, 532, 900, 841.

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}.