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LCM of 330, 220, 600, 919

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


Find the LCM of 330, 220, 600, 919 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, 220, 600, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,220,600,919

Given numbers are 330,220,600,919

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

The LCM of 330,220,600,919 is 6065400.

Find LCM of 330,220,600,919 with Prime Factorization


2 330, 220, 600, 919
2 165, 110, 300, 919
3 165, 55, 150, 919
5 55, 55, 50, 919
11 11, 11, 10, 919
1, 1, 10, 919

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

2 x 2 x 3 x 5 x 11 x 1 x 1 x 10 x 919 = 6065400

Therefore, the lowest common multiple of 330,220,600,919 is 6065400.

LCM Formula to Find Lowest Common Multiple of 330,220,600,919

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 220 x 600 x 919 = 40031640000

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,220,600,919, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

220:2x 2x 5x 11

600:2x 2x 2x 3x 5x 5

919:919

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 5x 5x 11 = 6600

Therefore, the value for common factors is 6600.

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 = 40031640000/(1x6600)

LCM = 40031640000/6600

LCM = 6065400

Thus, we can understand that the LCM of 330,220,600,919 is 6065400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 220, 600, 919

1. What is the LCM of 330, 220, 600, 919?

Answer: LCM of 330, 220, 600, 919 is 6065400.

2. How to calculate the LCM of 330, 220, 600, 919?

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, 220, 600, 919.

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}.