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LCM of 330, 642, 924, 533

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 330, 642, 924, 533 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 330, 642, 924, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,642,924,533

Given numbers are 330,642,924,533

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

The LCM of 330,642,924,533 is 263483220.

Find LCM of 330,642,924,533 with Prime Factorization


2 330, 642, 924, 533
3 165, 321, 462, 533
11 55, 107, 154, 533
5, 107, 14, 533

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

2 x 3 x 11 x 5 x 107 x 14 x 533 = 263483220

Therefore, the lowest common multiple of 330,642,924,533 is 263483220.

LCM Formula to Find Lowest Common Multiple of 330,642,924,533

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 642 x 924 x 533 = 104339355120

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,642,924,533, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

642:2x 3x 107

924:2x 2x 3x 7x 11

533:13x 41

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 104339355120/(1x396)

LCM = 104339355120/396

LCM = 263483220

Thus, we can understand that the LCM of 330,642,924,533 is 263483220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 642, 924, 533

1. What is the LCM of 330, 642, 924, 533?

Answer: LCM of 330, 642, 924, 533 is 263483220.

2. How to calculate the LCM of 330, 642, 924, 533?

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, 642, 924, 533.

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}.