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LCM of 387, 514, 404, 202

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


Find the LCM of 387, 514, 404, 202 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 387, 514, 404, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,514,404,202

Given numbers are 387,514,404,202

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

The LCM of 387,514,404,202 is 40181436.

Find LCM of 387,514,404,202 with Prime Factorization


2 387, 514, 404, 202
101 387, 257, 202, 101
387, 257, 2, 1

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

2 x 101 x 387 x 257 x 2 x 1 = 40181436

Therefore, the lowest common multiple of 387,514,404,202 is 40181436.

LCM Formula to Find Lowest Common Multiple of 387,514,404,202

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.

387 x 514 x 404 x 202 = 16233300144

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.

387 : 1, 3, 9, 43, 129, 387

514 : 1, 2, 257, 514

404 : 1, 2, 4, 101, 202, 404

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,514,404,202, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

514:2x 257

404:2x 2x 101

202:2x 101

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

2x 2x 101 = 404

Therefore, the value for common factors is 404.

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 = 16233300144/(1x404)

LCM = 16233300144/404

LCM = 40181436

Thus, we can understand that the LCM of 387,514,404,202 is 40181436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 514, 404, 202

1. What is the LCM of 387, 514, 404, 202?

Answer: LCM of 387, 514, 404, 202 is 40181436.

2. How to calculate the LCM of 387, 514, 404, 202?

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 387, 514, 404, 202.

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}.