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LCM of 887, 398, 309, 874, 395

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


Find the LCM of 887, 398, 309, 874, 395 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 887, 398, 309, 874, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,398,309,874,395

Given numbers are 887,398,309,874,395

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

The LCM of 887,398,309,874,395 is 18829713143910.

Find LCM of 887,398,309,874,395 with Prime Factorization


2 887, 398, 309, 874, 395
887, 199, 309, 437, 395

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

2 x 887 x 199 x 309 x 437 x 395 = 18829713143910

Therefore, the lowest common multiple of 887,398,309,874,395 is 18829713143910.

LCM Formula to Find Lowest Common Multiple of 887,398,309,874,395

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.

887 x 398 x 309 x 874 x 395 = 37659426287820

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.

887 : 1, 887

398 : 1, 2, 199, 398

309 : 1, 3, 103, 309

874 : 1, 2, 19, 23, 38, 46, 437, 874

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,398,309,874,395, is 1.

Now, the common factors can be found like this.

887:887

398:2x 199

309:3x 103

874:2x 19x 23

395:5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37659426287820/(1x2)

LCM = 37659426287820/2

LCM = 18829713143910

Thus, we can understand that the LCM of 887,398,309,874,395 is 18829713143910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 398, 309, 874, 395

1. What is the LCM of 887, 398, 309, 874, 395?

Answer: LCM of 887, 398, 309, 874, 395 is 18829713143910.

2. How to calculate the LCM of 887, 398, 309, 874, 395?

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 887, 398, 309, 874, 395.

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}.