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LCM of 491, 380, 209, 406

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


Find the LCM of 491, 380, 209, 406 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 491, 380, 209, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,380,209,406

Given numbers are 491,380,209,406

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

The LCM of 491,380,209,406 is 416633140.

Find LCM of 491,380,209,406 with Prime Factorization


2 491, 380, 209, 406
19 491, 190, 209, 203
491, 10, 11, 203

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

2 x 19 x 491 x 10 x 11 x 203 = 416633140

Therefore, the lowest common multiple of 491,380,209,406 is 416633140.

LCM Formula to Find Lowest Common Multiple of 491,380,209,406

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.

491 x 380 x 209 x 406 = 15832059320

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.

491 : 1, 491

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

209 : 1, 11, 19, 209

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,380,209,406, is 1.

Now, the common factors can be found like this.

491:491

380:2x 2x 5x 19

209:11x 19

406:2x 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.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 15832059320/(1x38)

LCM = 15832059320/38

LCM = 416633140

Thus, we can understand that the LCM of 491,380,209,406 is 416633140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 380, 209, 406

1. What is the LCM of 491, 380, 209, 406?

Answer: LCM of 491, 380, 209, 406 is 416633140.

2. How to calculate the LCM of 491, 380, 209, 406?

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 491, 380, 209, 406.

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}.