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LCM of 177, 177, 648

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


Find the LCM of 177, 177, 648 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 177, 177, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,177,648

Given numbers are 177,177,648

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

The LCM of 177,177,648 is 38232.

Find LCM of 177,177,648 with Prime Factorization


3 177, 177, 648
59 59, 59, 216
1, 1, 216

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

3 x 59 x 1 x 1 x 216 = 38232

Therefore, the lowest common multiple of 177,177,648 is 38232.

LCM Formula to Find Lowest Common Multiple of 177,177,648

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.

177 x 177 x 648 = 20301192

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.

177 : 1, 3, 59, 177

177 : 1, 3, 59, 177

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,177,648, is 3.

Now, the common factors can be found like this.

177:3x 59

177:3x 59

648:2x 2x 2x 3x 3x 3x 3

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

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 20301192/(3x177)

LCM = 20301192/531

LCM = 38232

Thus, we can understand that the LCM of 177,177,648 is 38232.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 177, 177, 648

1. What is the LCM of 177, 177, 648?

Answer: LCM of 177, 177, 648 is 38232.

2. How to calculate the LCM of 177, 177, 648?

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 177, 177, 648.

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}.