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LCM of 192, 527, 527, 793

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


Find the LCM of 192, 527, 527, 793 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, 527, 527, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,527,527,793

Given numbers are 192,527,527,793

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

The LCM of 192,527,527,793 is 80238912.

Find LCM of 192,527,527,793 with Prime Factorization


17 192, 527, 527, 793
31 192, 31, 31, 793
192, 1, 1, 793

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

17 x 31 x 192 x 1 x 1 x 793 = 80238912

Therefore, the lowest common multiple of 192,527,527,793 is 80238912.

LCM Formula to Find Lowest Common Multiple of 192,527,527,793

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 527 x 527 x 793 = 42285906624

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

527 : 1, 17, 31, 527

527 : 1, 17, 31, 527

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,527,527,793, is 1.

Now, the common factors can be found like this.

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

527:17x 31

527:17x 31

793:13x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 31 = 527

Therefore, the value for common factors is 527.

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 = 42285906624/(1x527)

LCM = 42285906624/527

LCM = 80238912

Thus, we can understand that the LCM of 192,527,527,793 is 80238912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 527, 527, 793

1. What is the LCM of 192, 527, 527, 793?

Answer: LCM of 192, 527, 527, 793 is 80238912.

2. How to calculate the LCM of 192, 527, 527, 793?

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, 527, 527, 793.

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}.