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LCM of 900, 723, 482, 192

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


Find the LCM of 900, 723, 482, 192 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, 723, 482, 192. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,723,482,192

Given numbers are 900,723,482,192

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

The LCM of 900,723,482,192 is 3470400.

Find LCM of 900,723,482,192 with Prime Factorization


2 900, 723, 482, 192
2 450, 723, 241, 96
3 225, 723, 241, 48
241 75, 241, 241, 16
75, 1, 1, 16

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

2 x 2 x 3 x 241 x 75 x 1 x 1 x 16 = 3470400

Therefore, the lowest common multiple of 900,723,482,192 is 3470400.

LCM Formula to Find Lowest Common Multiple of 900,723,482,192

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 723 x 482 x 192 = 60218380800

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

723 : 1, 3, 241, 723

482 : 1, 2, 241, 482

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,723,482,192, is 1.

Now, the common factors can be found like this.

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

723:3x 241

482:2x 241

192:2x 2x 2x 2x 2x 2x 3

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 3x 241 = 17352

Therefore, the value for common factors is 17352.

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 = 60218380800/(1x17352)

LCM = 60218380800/17352

LCM = 3470400

Thus, we can understand that the LCM of 900,723,482,192 is 3470400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 723, 482, 192

1. What is the LCM of 900, 723, 482, 192?

Answer: LCM of 900, 723, 482, 192 is 3470400.

2. How to calculate the LCM of 900, 723, 482, 192?

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, 723, 482, 192.

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}.