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LCM of 287, 814, 161, 814

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


Find the LCM of 287, 814, 161, 814 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 287, 814, 161, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,814,161,814

Given numbers are 287,814,161,814

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

The LCM of 287,814,161,814 is 5373214.

Find LCM of 287,814,161,814 with Prime Factorization


2 287, 814, 161, 814
7 287, 407, 161, 407
11 41, 407, 23, 407
37 41, 37, 23, 37
41, 1, 23, 1

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

2 x 7 x 11 x 37 x 41 x 1 x 23 x 1 = 5373214

Therefore, the lowest common multiple of 287,814,161,814 is 5373214.

LCM Formula to Find Lowest Common Multiple of 287,814,161,814

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.

287 x 814 x 161 x 814 = 30616573372

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.

287 : 1, 7, 41, 287

814 : 1, 2, 11, 22, 37, 74, 407, 814

161 : 1, 7, 23, 161

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,814,161,814, is 1.

Now, the common factors can be found like this.

287:7x 41

814:2x 11x 37

161:7x 23

814:2x 11x 37

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

2x 7x 11x 37 = 5698

Therefore, the value for common factors is 5698.

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 = 30616573372/(1x5698)

LCM = 30616573372/5698

LCM = 5373214

Thus, we can understand that the LCM of 287,814,161,814 is 5373214.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 814, 161, 814

1. What is the LCM of 287, 814, 161, 814?

Answer: LCM of 287, 814, 161, 814 is 5373214.

2. How to calculate the LCM of 287, 814, 161, 814?

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 287, 814, 161, 814.

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}.