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LCM of 188, 172, 774

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


Find the LCM of 188, 172, 774 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 188, 172, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,172,774

Given numbers are 188,172,774

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

The LCM of 188,172,774 is 72756.

Find LCM of 188,172,774 with Prime Factorization


2 188, 172, 774
2 94, 86, 387
43 47, 43, 387
47, 1, 9

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

2 x 2 x 43 x 47 x 1 x 9 = 72756

Therefore, the lowest common multiple of 188,172,774 is 72756.

LCM Formula to Find Lowest Common Multiple of 188,172,774

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.

188 x 172 x 774 = 25028064

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.

188 : 1, 2, 4, 47, 94, 188

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,172,774, is 2.

Now, the common factors can be found like this.

188:2x 2x 47

172:2x 2x 43

774:2x 3x 3x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 25028064/(2x172)

LCM = 25028064/344

LCM = 72756

Thus, we can understand that the LCM of 188,172,774 is 72756.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 188, 172, 774

1. What is the LCM of 188, 172, 774?

Answer: LCM of 188, 172, 774 is 72756.

2. How to calculate the LCM of 188, 172, 774?

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 188, 172, 774.

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}.