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LCM of 192, 133, 344, 384, 608

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


Find the LCM of 192, 133, 344, 384, 608 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 192, 133, 344, 384, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,133,344,384,608

Given numbers are 192,133,344,384,608

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

The LCM of 192,133,344,384,608 is 2196096.

Find LCM of 192,133,344,384,608 with Prime Factorization


2 192, 133, 344, 384, 608
2 96, 133, 172, 192, 304
2 48, 133, 86, 96, 152
2 24, 133, 43, 48, 76
2 12, 133, 43, 24, 38
2 6, 133, 43, 12, 19
3 3, 133, 43, 6, 19
19 1, 133, 43, 2, 19
1, 7, 43, 2, 1

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 1 x 7 x 43 x 2 x 1 = 2196096

Therefore, the lowest common multiple of 192,133,344,384,608 is 2196096.

LCM Formula to Find Lowest Common Multiple of 192,133,344,384,608

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.

192 x 133 x 344 x 384 x 608 = 2050907701248

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.

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

133 : 1, 7, 19, 133

344 : 1, 2, 4, 8, 43, 86, 172, 344

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,133,344,384,608, is 1.

Now, the common factors can be found like this.

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

133:7x 19

344:2x 2x 2x 43

384:2x 2x 2x 2x 2x 2x 2x 3

608:2x 2x 2x 2x 2x 19

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 2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 19 = 933888

Therefore, the value for common factors is 933888.

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 = 2050907701248/(1x933888)

LCM = 2050907701248/933888

LCM = 2196096

Thus, we can understand that the LCM of 192,133,344,384,608 is 2196096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 133, 344, 384, 608

1. What is the LCM of 192, 133, 344, 384, 608?

Answer: LCM of 192, 133, 344, 384, 608 is 2196096.

2. How to calculate the LCM of 192, 133, 344, 384, 608?

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 192, 133, 344, 384, 608.

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}.