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LCM of 887, 892, 442, 398, 385

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


Find the LCM of 887, 892, 442, 398, 385 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, 892, 442, 398, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,892,442,398,385

Given numbers are 887,892,442,398,385

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

The LCM of 887,892,442,398,385 is 13396598875660.

Find LCM of 887,892,442,398,385 with Prime Factorization


2 887, 892, 442, 398, 385
887, 446, 221, 199, 385

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

2 x 887 x 446 x 221 x 199 x 385 = 13396598875660

Therefore, the lowest common multiple of 887,892,442,398,385 is 13396598875660.

LCM Formula to Find Lowest Common Multiple of 887,892,442,398,385

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 892 x 442 x 398 x 385 = 53586395502640

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

892 : 1, 2, 4, 223, 446, 892

442 : 1, 2, 13, 17, 26, 34, 221, 442

398 : 1, 2, 199, 398

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,892,442,398,385, is 1.

Now, the common factors can be found like this.

887:887

892:2x 2x 223

442:2x 13x 17

398:2x 199

385:5x 7x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53586395502640/(1x4)

LCM = 53586395502640/4

LCM = 13396598875660

Thus, we can understand that the LCM of 887,892,442,398,385 is 13396598875660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 892, 442, 398, 385

1. What is the LCM of 887, 892, 442, 398, 385?

Answer: LCM of 887, 892, 442, 398, 385 is 13396598875660.

2. How to calculate the LCM of 887, 892, 442, 398, 385?

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, 892, 442, 398, 385.

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}.