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LCM of 514, 325, 403, 741, 851

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


Find the LCM of 514, 325, 403, 741, 851 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 514, 325, 403, 741, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,325,403,741,851

Given numbers are 514,325,403,741,851

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

The LCM of 514,325,403,741,851 is 251195924850.

Find LCM of 514,325,403,741,851 with Prime Factorization


13 514, 325, 403, 741, 851
514, 25, 31, 57, 851

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

13 x 514 x 25 x 31 x 57 x 851 = 251195924850

Therefore, the lowest common multiple of 514,325,403,741,851 is 251195924850.

LCM Formula to Find Lowest Common Multiple of 514,325,403,741,851

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.

514 x 325 x 403 x 741 x 851 = 42452111299650

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.

514 : 1, 2, 257, 514

325 : 1, 5, 13, 25, 65, 325

403 : 1, 13, 31, 403

741 : 1, 3, 13, 19, 39, 57, 247, 741

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,325,403,741,851, is 1.

Now, the common factors can be found like this.

514:2x 257

325:5x 5x 13

403:13x 31

741:3x 13x 19

851:23x 37

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 42452111299650/(1x169)

LCM = 42452111299650/169

LCM = 251195924850

Thus, we can understand that the LCM of 514,325,403,741,851 is 251195924850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 325, 403, 741, 851

1. What is the LCM of 514, 325, 403, 741, 851?

Answer: LCM of 514, 325, 403, 741, 851 is 251195924850.

2. How to calculate the LCM of 514, 325, 403, 741, 851?

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 514, 325, 403, 741, 851.

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}.