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LCM of 382, 857, 524, 203

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


Find the LCM of 382, 857, 524, 203 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 382, 857, 524, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,857,524,203

Given numbers are 382,857,524,203

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

The LCM of 382,857,524,203 is 17411713564.

Find LCM of 382,857,524,203 with Prime Factorization


2 382, 857, 524, 203
191, 857, 262, 203

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

2 x 191 x 857 x 262 x 203 = 17411713564

Therefore, the lowest common multiple of 382,857,524,203 is 17411713564.

LCM Formula to Find Lowest Common Multiple of 382,857,524,203

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.

382 x 857 x 524 x 203 = 34823427128

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.

382 : 1, 2, 191, 382

857 : 1, 857

524 : 1, 2, 4, 131, 262, 524

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,857,524,203, is 1.

Now, the common factors can be found like this.

382:2x 191

857:857

524:2x 2x 131

203:7x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 34823427128/(1x2)

LCM = 34823427128/2

LCM = 17411713564

Thus, we can understand that the LCM of 382,857,524,203 is 17411713564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 857, 524, 203

1. What is the LCM of 382, 857, 524, 203?

Answer: LCM of 382, 857, 524, 203 is 17411713564.

2. How to calculate the LCM of 382, 857, 524, 203?

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 382, 857, 524, 203.

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}.