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LCM of 842, 502, 687, 177

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


Find the LCM of 842, 502, 687, 177 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 842, 502, 687, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,502,687,177

Given numbers are 842,502,687,177

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

The LCM of 842,502,687,177 is 8566325286.

Find LCM of 842,502,687,177 with Prime Factorization


2 842, 502, 687, 177
3 421, 251, 687, 177
421, 251, 229, 59

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

2 x 3 x 421 x 251 x 229 x 59 = 8566325286

Therefore, the lowest common multiple of 842,502,687,177 is 8566325286.

LCM Formula to Find Lowest Common Multiple of 842,502,687,177

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.

842 x 502 x 687 x 177 = 51397951716

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.

842 : 1, 2, 421, 842

502 : 1, 2, 251, 502

687 : 1, 3, 229, 687

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,502,687,177, is 1.

Now, the common factors can be found like this.

842:2x 421

502:2x 251

687:3x 229

177:3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 51397951716/(1x6)

LCM = 51397951716/6

LCM = 8566325286

Thus, we can understand that the LCM of 842,502,687,177 is 8566325286.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 502, 687, 177

1. What is the LCM of 842, 502, 687, 177?

Answer: LCM of 842, 502, 687, 177 is 8566325286.

2. How to calculate the LCM of 842, 502, 687, 177?

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 842, 502, 687, 177.

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}.