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LCM of 177, 687, 867, 170

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


Find the LCM of 177, 687, 867, 170 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, 687, 867, 170. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,687,867,170

Given numbers are 177,687,867,170

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

The LCM of 177,687,867,170 is 117140370.

Find LCM of 177,687,867,170 with Prime Factorization


3 177, 687, 867, 170
17 59, 229, 289, 170
59, 229, 17, 10

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

3 x 17 x 59 x 229 x 17 x 10 = 117140370

Therefore, the lowest common multiple of 177,687,867,170 is 117140370.

LCM Formula to Find Lowest Common Multiple of 177,687,867,170

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 687 x 867 x 170 = 17922476610

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

687 : 1, 3, 229, 687

867 : 1, 3, 17, 51, 289, 867

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,687,867,170, is 1.

Now, the common factors can be found like this.

177:3x 59

687:3x 229

867:3x 17x 17

170:2x 5x 17

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 17922476610/(1x153)

LCM = 17922476610/153

LCM = 117140370

Thus, we can understand that the LCM of 177,687,867,170 is 117140370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 687, 867, 170

1. What is the LCM of 177, 687, 867, 170?

Answer: LCM of 177, 687, 867, 170 is 117140370.

2. How to calculate the LCM of 177, 687, 867, 170?

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, 687, 867, 170.

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}.