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LCM of 754, 291, 173, 208, 455

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


Find the LCM of 754, 291, 173, 208, 455 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 754, 291, 173, 208, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,291,173,208,455

Given numbers are 754,291,173,208,455

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

The LCM of 754,291,173,208,455 is 10628414160.

Find LCM of 754,291,173,208,455 with Prime Factorization


2 754, 291, 173, 208, 455
13 377, 291, 173, 104, 455
29, 291, 173, 8, 35

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

2 x 13 x 29 x 291 x 173 x 8 x 35 = 10628414160

Therefore, the lowest common multiple of 754,291,173,208,455 is 10628414160.

LCM Formula to Find Lowest Common Multiple of 754,291,173,208,455

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.

754 x 291 x 173 x 208 x 455 = 3592403986080

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

291 : 1, 3, 97, 291

173 : 1, 173

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,291,173,208,455, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

291:3x 97

173:173

208:2x 2x 2x 2x 13

455:5x 7x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 3592403986080/(1x338)

LCM = 3592403986080/338

LCM = 10628414160

Thus, we can understand that the LCM of 754,291,173,208,455 is 10628414160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 291, 173, 208, 455

1. What is the LCM of 754, 291, 173, 208, 455?

Answer: LCM of 754, 291, 173, 208, 455 is 10628414160.

2. How to calculate the LCM of 754, 291, 173, 208, 455?

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 754, 291, 173, 208, 455.

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}.