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LCM of 687, 862, 731, 289

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


Find the LCM of 687, 862, 731, 289 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 687, 862, 731, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,862,731,289

Given numbers are 687,862,731,289

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

The LCM of 687,862,731,289 is 7359194838.

Find LCM of 687,862,731,289 with Prime Factorization


17 687, 862, 731, 289
687, 862, 43, 17

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

17 x 687 x 862 x 43 x 17 = 7359194838

Therefore, the lowest common multiple of 687,862,731,289 is 7359194838.

LCM Formula to Find Lowest Common Multiple of 687,862,731,289

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.

687 x 862 x 731 x 289 = 125106312246

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.

687 : 1, 3, 229, 687

862 : 1, 2, 431, 862

731 : 1, 17, 43, 731

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,862,731,289, is 1.

Now, the common factors can be found like this.

687:3x 229

862:2x 431

731:17x 43

289:17x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 125106312246/(1x17)

LCM = 125106312246/17

LCM = 7359194838

Thus, we can understand that the LCM of 687,862,731,289 is 7359194838.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 862, 731, 289

1. What is the LCM of 687, 862, 731, 289?

Answer: LCM of 687, 862, 731, 289 is 7359194838.

2. How to calculate the LCM of 687, 862, 731, 289?

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 687, 862, 731, 289.

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}.