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LCM of 900, 666, 928, 220, 239

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


Find the LCM of 900, 666, 928, 220, 239 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 900, 666, 928, 220, 239. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,666,928,220,239

Given numbers are 900,666,928,220,239

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

The LCM of 900,666,928,220,239 is 20310602400.

Find LCM of 900,666,928,220,239 with Prime Factorization


2 900, 666, 928, 220, 239
2 450, 333, 464, 110, 239
3 225, 333, 232, 55, 239
3 75, 111, 232, 55, 239
5 25, 37, 232, 55, 239
5, 37, 232, 11, 239

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

2 x 2 x 3 x 3 x 5 x 5 x 37 x 232 x 11 x 239 = 20310602400

Therefore, the lowest common multiple of 900,666,928,220,239 is 20310602400.

LCM Formula to Find Lowest Common Multiple of 900,666,928,220,239

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.

900 x 666 x 928 x 220 x 239 = 29247267456000

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.

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

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,666,928,220,239, is 1.

Now, the common factors can be found like this.

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

666:2x 3x 3x 37

928:2x 2x 2x 2x 2x 29

220:2x 2x 5x 11

239:239

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 29247267456000/(1x1440)

LCM = 29247267456000/1440

LCM = 20310602400

Thus, we can understand that the LCM of 900,666,928,220,239 is 20310602400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 666, 928, 220, 239

1. What is the LCM of 900, 666, 928, 220, 239?

Answer: LCM of 900, 666, 928, 220, 239 is 20310602400.

2. How to calculate the LCM of 900, 666, 928, 220, 239?

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 900, 666, 928, 220, 239.

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}.