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LCM of 192, 174, 748, 810

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


Find the LCM of 192, 174, 748, 810 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, 174, 748, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,174,748,810

Given numbers are 192,174,748,810

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

The LCM of 192,174,748,810 is 140564160.

Find LCM of 192,174,748,810 with Prime Factorization


2 192, 174, 748, 810
2 96, 87, 374, 405
3 48, 87, 187, 405
16, 29, 187, 135

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

2 x 2 x 3 x 16 x 29 x 187 x 135 = 140564160

Therefore, the lowest common multiple of 192,174,748,810 is 140564160.

LCM Formula to Find Lowest Common Multiple of 192,174,748,810

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 174 x 748 x 810 = 20241239040

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,174,748,810, is 2.

Now, the common factors can be found like this.

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

174:2x 3x 29

748:2x 2x 11x 17

810:2x 3x 3x 3x 3x 5

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 3 = 72

Therefore, the value for common factors is 72.

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 = 20241239040/(2x72)

LCM = 20241239040/144

LCM = 140564160

Thus, we can understand that the LCM of 192,174,748,810 is 140564160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 174, 748, 810

1. What is the LCM of 192, 174, 748, 810?

Answer: LCM of 192, 174, 748, 810 is 140564160.

2. How to calculate the LCM of 192, 174, 748, 810?

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, 174, 748, 810.

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}.