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LCM of 257, 699, 855, 931

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


Find the LCM of 257, 699, 855, 931 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 257, 699, 855, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,699,855,931

Given numbers are 257,699,855,931

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

The LCM of 257,699,855,931 is 2508714495.

Find LCM of 257,699,855,931 with Prime Factorization


3 257, 699, 855, 931
19 257, 233, 285, 931
257, 233, 15, 49

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

3 x 19 x 257 x 233 x 15 x 49 = 2508714495

Therefore, the lowest common multiple of 257,699,855,931 is 2508714495.

LCM Formula to Find Lowest Common Multiple of 257,699,855,931

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.

257 x 699 x 855 x 931 = 142996726215

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.

257 : 1, 257

699 : 1, 3, 233, 699

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,699,855,931, is 1.

Now, the common factors can be found like this.

257:257

699:3x 233

855:3x 3x 5x 19

931:7x 7x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 142996726215/(1x57)

LCM = 142996726215/57

LCM = 2508714495

Thus, we can understand that the LCM of 257,699,855,931 is 2508714495.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 699, 855, 931

1. What is the LCM of 257, 699, 855, 931?

Answer: LCM of 257, 699, 855, 931 is 2508714495.

2. How to calculate the LCM of 257, 699, 855, 931?

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 257, 699, 855, 931.

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}.