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LCM of 843, 288, 755, 989

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


Find the LCM of 843, 288, 755, 989 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 843, 288, 755, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,288,755,989

Given numbers are 843,288,755,989

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

The LCM of 843,288,755,989 is 60428532960.

Find LCM of 843,288,755,989 with Prime Factorization


3 843, 288, 755, 989
281, 96, 755, 989

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

3 x 281 x 96 x 755 x 989 = 60428532960

Therefore, the lowest common multiple of 843,288,755,989 is 60428532960.

LCM Formula to Find Lowest Common Multiple of 843,288,755,989

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.

843 x 288 x 755 x 989 = 181285598880

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.

843 : 1, 3, 281, 843

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

755 : 1, 5, 151, 755

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,288,755,989, is 1.

Now, the common factors can be found like this.

843:3x 281

288:2x 2x 2x 2x 2x 3x 3

755:5x 151

989:23x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 181285598880/(1x3)

LCM = 181285598880/3

LCM = 60428532960

Thus, we can understand that the LCM of 843,288,755,989 is 60428532960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 288, 755, 989

1. What is the LCM of 843, 288, 755, 989?

Answer: LCM of 843, 288, 755, 989 is 60428532960.

2. How to calculate the LCM of 843, 288, 755, 989?

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 843, 288, 755, 989.

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}.