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LCM of 734, 843, 873, 734, 514

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


Find the LCM of 734, 843, 873, 734, 514 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 734, 843, 873, 734, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,843,873,734,514

Given numbers are 734,843,873,734,514

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

The LCM of 734,843,873,734,514 is 46275353694.

Find LCM of 734,843,873,734,514 with Prime Factorization


2 734, 843, 873, 734, 514
3 367, 843, 873, 367, 257
367 367, 281, 291, 367, 257
1, 281, 291, 1, 257

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

2 x 3 x 367 x 1 x 281 x 291 x 1 x 257 = 46275353694

Therefore, the lowest common multiple of 734,843,873,734,514 is 46275353694.

LCM Formula to Find Lowest Common Multiple of 734,843,873,734,514

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.

734 x 843 x 873 x 734 x 514 = 203796657668376

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.

734 : 1, 2, 367, 734

843 : 1, 3, 281, 843

873 : 1, 3, 9, 97, 291, 873

734 : 1, 2, 367, 734

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,843,873,734,514, is 1.

Now, the common factors can be found like this.

734:2x 367

843:3x 281

873:3x 3x 97

734:2x 367

514:2x 257

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

2x 2x 3x 367 = 4404

Therefore, the value for common factors is 4404.

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 = 203796657668376/(1x4404)

LCM = 203796657668376/4404

LCM = 46275353694

Thus, we can understand that the LCM of 734,843,873,734,514 is 46275353694.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 843, 873, 734, 514

1. What is the LCM of 734, 843, 873, 734, 514?

Answer: LCM of 734, 843, 873, 734, 514 is 46275353694.

2. How to calculate the LCM of 734, 843, 873, 734, 514?

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 734, 843, 873, 734, 514.

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}.