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LCM of 887, 998, 224

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


Find the LCM of 887, 998, 224 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, 998, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,998,224

Given numbers are 887,998,224

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

The LCM of 887,998,224 is 99145312.

Find LCM of 887,998,224 with Prime Factorization


2 887, 998, 224
887, 499, 112

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

2 x 887 x 499 x 112 = 99145312

Therefore, the lowest common multiple of 887,998,224 is 99145312.

LCM Formula to Find Lowest Common Multiple of 887,998,224

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 998 x 224 = 198290624

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

998 : 1, 2, 499, 998

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,998,224, is 1.

Now, the common factors can be found like this.

887:887

998:2x 499

224:2x 2x 2x 2x 2x 7

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 = 198290624/(1x2)

LCM = 198290624/2

LCM = 99145312

Thus, we can understand that the LCM of 887,998,224 is 99145312.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 887, 998, 224

1. What is the LCM of 887, 998, 224?

Answer: LCM of 887, 998, 224 is 99145312.

2. How to calculate the LCM of 887, 998, 224?

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, 998, 224.

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}.