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LCM of 896, 227, 998, 281, 178

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


Find the LCM of 896, 227, 998, 281, 178 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 896, 227, 998, 281, 178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,227,998,281,178

Given numbers are 896,227,998,281,178

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

The LCM of 896,227,998,281,178 is 2538228633472.

Find LCM of 896,227,998,281,178 with Prime Factorization


2 896, 227, 998, 281, 178
448, 227, 499, 281, 89

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

2 x 448 x 227 x 499 x 281 x 89 = 2538228633472

Therefore, the lowest common multiple of 896,227,998,281,178 is 2538228633472.

LCM Formula to Find Lowest Common Multiple of 896,227,998,281,178

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.

896 x 227 x 998 x 281 x 178 = 10152914533888

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

227 : 1, 227

998 : 1, 2, 499, 998

281 : 1, 281

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,227,998,281,178, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

227:227

998:2x 499

281:281

178:2x 89

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 = 10152914533888/(1x4)

LCM = 10152914533888/4

LCM = 2538228633472

Thus, we can understand that the LCM of 896,227,998,281,178 is 2538228633472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 227, 998, 281, 178

1. What is the LCM of 896, 227, 998, 281, 178?

Answer: LCM of 896, 227, 998, 281, 178 is 2538228633472.

2. How to calculate the LCM of 896, 227, 998, 281, 178?

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 896, 227, 998, 281, 178.

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}.