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LCM of 896, 389, 483, 281

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


Find the LCM of 896, 389, 483, 281 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, 389, 483, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,389,483,281

Given numbers are 896,389,483,281

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

The LCM of 896,389,483,281 is 6757919616.

Find LCM of 896,389,483,281 with Prime Factorization


7 896, 389, 483, 281
128, 389, 69, 281

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

7 x 128 x 389 x 69 x 281 = 6757919616

Therefore, the lowest common multiple of 896,389,483,281 is 6757919616.

LCM Formula to Find Lowest Common Multiple of 896,389,483,281

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 389 x 483 x 281 = 47305437312

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

389 : 1, 389

483 : 1, 3, 7, 21, 23, 69, 161, 483

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,389,483,281, is 1.

Now, the common factors can be found like this.

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

389:389

483:3x 7x 23

281:281

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

7 = 7

Therefore, the value for common factors is 7.

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 = 47305437312/(1x7)

LCM = 47305437312/7

LCM = 6757919616

Thus, we can understand that the LCM of 896,389,483,281 is 6757919616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 389, 483, 281

1. What is the LCM of 896, 389, 483, 281?

Answer: LCM of 896, 389, 483, 281 is 6757919616.

2. How to calculate the LCM of 896, 389, 483, 281?

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, 389, 483, 281.

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}.