Given numbers are 330,354,214,739,832

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

The LCM of 330,354,214,739,832 is 640453344960.

Find LCM of 330,354,214,739,832 with Prime Factorization

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

2 x 3 x 55 x 59 x 107 x 739 x 416 = 640453344960

Therefore, the lowest common multiple of 330,354,214,739,832 is 640453344960.

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 354 x 214 x 739 x 832 = 15370880279040

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

214 : 1, 2, 107, 214

739 : 1, 739

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,354,214,739,832, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

354:2x 3x 59

214:2x 107

739:739

832:2x 2x 2x 2x 2x 2x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 15370880279040/(1x24)

LCM = 15370880279040/24

LCM = 640453344960

Thus, we can understand that the LCM of 330,354,214,739,832 is 640453344960.

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

• LCM of 848, 512, 377, 218, 157
• LCM of 875, 674, 852, 705, 808
• LCM of 235, 404, 748, 356, 769
• LCM of 402, 410, 656, 847, 941
• LCM of 905, 415, 407, 899, 564

1. What is the LCM of 330, 354, 214, 739, 832?

Answer: LCM of 330, 354, 214, 739, 832 is 640453344960.

2. How to calculate the LCM of 330, 354, 214, 739, 832?

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, 354, 214, 739, 832.

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}.