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LCM of 449, 209, 953, 969, 391

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


Find the LCM of 449, 209, 953, 969, 391 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 449, 209, 953, 969, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,209,953,969,391

Given numbers are 449,209,953,969,391

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

The LCM of 449,209,953,969,391 is 104901944829.

Find LCM of 449,209,953,969,391 with Prime Factorization


17 449, 209, 953, 969, 391
19 449, 209, 953, 57, 23
449, 11, 953, 3, 23

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

17 x 19 x 449 x 11 x 953 x 3 x 23 = 104901944829

Therefore, the lowest common multiple of 449,209,953,969,391 is 104901944829.

LCM Formula to Find Lowest Common Multiple of 449,209,953,969,391

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.

449 x 209 x 953 x 969 x 391 = 33883328179767

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.

449 : 1, 449

209 : 1, 11, 19, 209

953 : 1, 953

969 : 1, 3, 17, 19, 51, 57, 323, 969

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,209,953,969,391, is 1.

Now, the common factors can be found like this.

449:449

209:11x 19

953:953

969:3x 17x 19

391:17x 23

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 33883328179767/(1x323)

LCM = 33883328179767/323

LCM = 104901944829

Thus, we can understand that the LCM of 449,209,953,969,391 is 104901944829.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 209, 953, 969, 391

1. What is the LCM of 449, 209, 953, 969, 391?

Answer: LCM of 449, 209, 953, 969, 391 is 104901944829.

2. How to calculate the LCM of 449, 209, 953, 969, 391?

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 449, 209, 953, 969, 391.

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}.