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LCM of 138, 713, 319, 203, 404

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


Find the LCM of 138, 713, 319, 203, 404 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 138, 713, 319, 203, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,713,319,203,404

Given numbers are 138,713,319,203,404

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

The LCM of 138,713,319,203,404 is 1929660348.

Find LCM of 138,713,319,203,404 with Prime Factorization


2 138, 713, 319, 203, 404
23 69, 713, 319, 203, 202
29 3, 31, 319, 203, 202
3, 31, 11, 7, 202

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

2 x 23 x 29 x 3 x 31 x 11 x 7 x 202 = 1929660348

Therefore, the lowest common multiple of 138,713,319,203,404 is 1929660348.

LCM Formula to Find Lowest Common Multiple of 138,713,319,203,404

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.

138 x 713 x 319 x 203 x 404 = 2574166904232

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

713 : 1, 23, 31, 713

319 : 1, 11, 29, 319

203 : 1, 7, 29, 203

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,713,319,203,404, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

713:23x 31

319:11x 29

203:7x 29

404:2x 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 23x 29 = 1334

Therefore, the value for common factors is 1334.

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 = 2574166904232/(1x1334)

LCM = 2574166904232/1334

LCM = 1929660348

Thus, we can understand that the LCM of 138,713,319,203,404 is 1929660348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 713, 319, 203, 404

1. What is the LCM of 138, 713, 319, 203, 404?

Answer: LCM of 138, 713, 319, 203, 404 is 1929660348.

2. How to calculate the LCM of 138, 713, 319, 203, 404?

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 138, 713, 319, 203, 404.

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}.